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Finding the Fourth Proportional to 14,553.90, 21,830.85 and 10,665.90

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Solution

The fourth proportional to 14,553.90, 21,830.85 and 10,665.90 is: 15,998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,553.90 : 21,830.85 = 10,665.90 : x
  2. Step 2: Convert to fraction form
    14,553.90/21,830.85 = 10,665.90/x
  3. Step 3: Cross multiply
    14,553.90x = 21,830.85 × 10,665.90
  4. Step 4: Simplify right side
    14,553.90x = 232,845,663.02
  5. Step 5: Solve for x
    x = 232,845,663.02/14,553.90
  6. Step 6: Final answer
    x = 15,998.85

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