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Finding the Fourth Proportional to 21,545.14, 32,293.74 and 9,061.42

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Solution

The fourth proportional to 21,545.14, 32,293.74 and 9,061.42 is: 13,582.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,545.14 : 32,293.74 = 9,061.42 : x
  2. Step 2: Convert to fraction form
    21,545.14/32,293.74 = 9,061.42/x
  3. Step 3: Cross multiply
    21,545.14x = 32,293.74 × 9,061.42
  4. Step 4: Simplify right side
    21,545.14x = 292,627,141.51
  5. Step 5: Solve for x
    x = 292,627,141.51/21,545.14
  6. Step 6: Final answer
    x = 13,582.05

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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.