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Finding the Fourth Proportional to 21,502.12, 29,658.66 and 12,998.68

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Solution

The fourth proportional to 21,502.12, 29,658.66 and 12,998.68 is: 17,929.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,502.12 : 29,658.66 = 12,998.68 : x
  2. Step 2: Convert to fraction form
    21,502.12/29,658.66 = 12,998.68/x
  3. Step 3: Cross multiply
    21,502.12x = 29,658.66 × 12,998.68
  4. Step 4: Simplify right side
    21,502.12x = 385,523,430.57
  5. Step 5: Solve for x
    x = 385,523,430.57/21,502.12
  6. Step 6: Final answer
    x = 17,929.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.