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Finding the Fourth Proportional to 28,032.52, 38,684.64 and 15,457

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Solution

The fourth proportional to 28,032.52, 38,684.64 and 15,457 is: 21,330.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,032.52 : 38,684.64 = 15,457 : x
  2. Step 2: Convert to fraction form
    28,032.52/38,684.64 = 15,457/x
  3. Step 3: Cross multiply
    28,032.52x = 38,684.64 × 15,457
  4. Step 4: Simplify right side
    28,032.52x = 597,948,480.48
  5. Step 5: Solve for x
    x = 597,948,480.48/28,032.52
  6. Step 6: Final answer
    x = 21,330.53

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