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Finding the Fourth Proportional to 27,498, 37,957.08 and 16,320

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Solution

The fourth proportional to 27,498, 37,957.08 and 16,320 is: 22,527.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,498 : 37,957.08 = 16,320 : x
  2. Step 2: Convert to fraction form
    27,498/37,957.08 = 16,320/x
  3. Step 3: Cross multiply
    27,498x = 37,957.08 × 16,320
  4. Step 4: Simplify right side
    27,498x = 619,459,545.60
  5. Step 5: Solve for x
    x = 619,459,545.60/27,498
  6. Step 6: Final answer
    x = 22,527.44

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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.