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Finding the Fourth Proportional to 28,957.52, 39,962.22 and 16,382

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Solution

The fourth proportional to 28,957.52, 39,962.22 and 16,382 is: 22,607.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,957.52 : 39,962.22 = 16,382 : x
  2. Step 2: Convert to fraction form
    28,957.52/39,962.22 = 16,382/x
  3. Step 3: Cross multiply
    28,957.52x = 39,962.22 × 16,382
  4. Step 4: Simplify right side
    28,957.52x = 654,661,088.04
  5. Step 5: Solve for x
    x = 654,661,088.04/28,957.52
  6. Step 6: Final answer
    x = 22,607.64

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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.