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Finding the Fourth Proportional to 19,666.14, 29,503.52 and 14,456.22

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Solution

The fourth proportional to 19,666.14, 29,503.52 and 14,456.22 is: 21,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,666.14 : 29,503.52 = 14,456.22 : x
  2. Step 2: Convert to fraction form
    19,666.14/29,503.52 = 14,456.22/x
  3. Step 3: Cross multiply
    19,666.14x = 29,503.52 × 14,456.22
  4. Step 4: Simplify right side
    19,666.14x = 426,509,375.89
  5. Step 5: Solve for x
    x = 426,509,375.89/19,666.14
  6. Step 6: Final answer
    x = 21,687.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.