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Finding the Fourth Proportional to 28,209.24, 38,926.98 and 15,633

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Solution

The fourth proportional to 28,209.24, 38,926.98 and 15,633 is: 21,572.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,209.24 : 38,926.98 = 15,633 : x
  2. Step 2: Convert to fraction form
    28,209.24/38,926.98 = 15,633/x
  3. Step 3: Cross multiply
    28,209.24x = 38,926.98 × 15,633
  4. Step 4: Simplify right side
    28,209.24x = 608,545,478.34
  5. Step 5: Solve for x
    x = 608,545,478.34/28,209.24
  6. Step 6: Final answer
    x = 21,572.56

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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.