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Finding the Fourth Proportional to 21,565.65, 29,758.98 and 12,132.39

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Solution

The fourth proportional to 21,565.65, 29,758.98 and 12,132.39 is: 16,741.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,565.65 : 29,758.98 = 12,132.39 : x
  2. Step 2: Convert to fraction form
    21,565.65/29,758.98 = 12,132.39/x
  3. Step 3: Cross multiply
    21,565.65x = 29,758.98 × 12,132.39
  4. Step 4: Simplify right side
    21,565.65x = 361,047,551.36
  5. Step 5: Solve for x
    x = 361,047,551.36/21,565.65
  6. Step 6: Final answer
    x = 16,741.79

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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.