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Finding the Fourth Proportional to 21,521.80, 32,277.56 and 9,042.06

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Solution

The fourth proportional to 21,521.80, 32,277.56 and 9,042.06 is: 13,560.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,521.80 : 32,277.56 = 9,042.06 : x
  2. Step 2: Convert to fraction form
    21,521.80/32,277.56 = 9,042.06/x
  3. Step 3: Cross multiply
    21,521.80x = 32,277.56 × 9,042.06
  4. Step 4: Simplify right side
    21,521.80x = 291,855,634.17
  5. Step 5: Solve for x
    x = 291,855,634.17/21,521.80
  6. Step 6: Final answer
    x = 13,560.93

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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.