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Finding the Fourth Proportional to 21,505.80, 29,677.14 and 12,074.16

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Solution

The fourth proportional to 21,505.80, 29,677.14 and 12,074.16 is: 16,661.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,505.80 : 29,677.14 = 12,074.16 : x
  2. Step 2: Convert to fraction form
    21,505.80/29,677.14 = 12,074.16/x
  3. Step 3: Cross multiply
    21,505.80x = 29,677.14 × 12,074.16
  4. Step 4: Simplify right side
    21,505.80x = 358,326,536.70
  5. Step 5: Solve for x
    x = 358,326,536.70/21,505.80
  6. Step 6: Final answer
    x = 16,661.86

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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.