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Finding the Fourth Proportional to 28,004.32, 38,646.08 and 15,429.07

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Solution

The fourth proportional to 28,004.32, 38,646.08 and 15,429.07 is: 21,292.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,004.32 : 38,646.08 = 15,429.07 : x
  2. Step 2: Convert to fraction form
    28,004.32/38,646.08 = 15,429.07/x
  3. Step 3: Cross multiply
    28,004.32x = 38,646.08 × 15,429.07
  4. Step 4: Simplify right side
    28,004.32x = 596,273,073.55
  5. Step 5: Solve for x
    x = 596,273,073.55/28,004.32
  6. Step 6: Final answer
    x = 21,292.18

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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.