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Finding the Fourth Proportional to 18,719.10, 25,830.09 and 10,335.06

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Solution

The fourth proportional to 18,719.10, 25,830.09 and 10,335.06 is: 14,261.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,719.10 : 25,830.09 = 10,335.06 : x
  2. Step 2: Convert to fraction form
    18,719.10/25,830.09 = 10,335.06/x
  3. Step 3: Cross multiply
    18,719.10x = 25,830.09 × 10,335.06
  4. Step 4: Simplify right side
    18,719.10x = 266,955,529.96
  5. Step 5: Solve for x
    x = 266,955,529.96/18,719.10
  6. Step 6: Final answer
    x = 14,261.13

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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.