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Finding the Fourth Proportional to 15,712.80, 21,658.42 and 14,425.22

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Solution

The fourth proportional to 15,712.80, 21,658.42 and 14,425.22 is: 19,883.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712.80 : 21,658.42 = 14,425.22 : x
  2. Step 2: Convert to fraction form
    15,712.80/21,658.42 = 14,425.22/x
  3. Step 3: Cross multiply
    15,712.80x = 21,658.42 × 14,425.22
  4. Step 4: Simplify right side
    15,712.80x = 312,427,473.35
  5. Step 5: Solve for x
    x = 312,427,473.35/15,712.80
  6. Step 6: Final answer
    x = 19,883.63

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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.