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Finding the Fourth Proportional to 18,765.64, 25,897.16 and 10,382.12

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Solution

The fourth proportional to 18,765.64, 25,897.16 and 10,382.12 is: 14,327.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,765.64 : 25,897.16 = 10,382.12 : x
  2. Step 2: Convert to fraction form
    18,765.64/25,897.16 = 10,382.12/x
  3. Step 3: Cross multiply
    18,765.64x = 25,897.16 × 10,382.12
  4. Step 4: Simplify right side
    18,765.64x = 268,867,422.78
  5. Step 5: Solve for x
    x = 268,867,422.78/18,765.64
  6. Step 6: Final answer
    x = 14,327.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.