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Finding the Fourth Proportional to 19,322.64, 26,662.92 and 10,825.20

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Solution

The fourth proportional to 19,322.64, 26,662.92 and 10,825.20 is: 14,937.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,322.64 : 26,662.92 = 10,825.20 : x
  2. Step 2: Convert to fraction form
    19,322.64/26,662.92 = 10,825.20/x
  3. Step 3: Cross multiply
    19,322.64x = 26,662.92 × 10,825.20
  4. Step 4: Simplify right side
    19,322.64x = 288,631,441.58
  5. Step 5: Solve for x
    x = 288,631,441.58/19,322.64
  6. Step 6: Final answer
    x = 14,937.47

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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.