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Finding the Fourth Proportional to 28,160, 38,860.80 and 16,384

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Solution

The fourth proportional to 28,160, 38,860.80 and 16,384 is: 22,609.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,160 : 38,860.80 = 16,384 : x
  2. Step 2: Convert to fraction form
    28,160/38,860.80 = 16,384/x
  3. Step 3: Cross multiply
    28,160x = 38,860.80 × 16,384
  4. Step 4: Simplify right side
    28,160x = 636,695,347.20
  5. Step 5: Solve for x
    x = 636,695,347.20/28,160
  6. Step 6: Final answer
    x = 22,609.92

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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.