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Finding the Fourth Proportional to 29,545.74, 44,309.04 and 9,819

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Solution

The fourth proportional to 29,545.74, 44,309.04 and 9,819 is: 14,725.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,545.74 : 44,309.04 = 9,819 : x
  2. Step 2: Convert to fraction form
    29,545.74/44,309.04 = 9,819/x
  3. Step 3: Cross multiply
    29,545.74x = 44,309.04 × 9,819
  4. Step 4: Simplify right side
    29,545.74x = 435,070,463.76
  5. Step 5: Solve for x
    x = 435,070,463.76/29,545.74
  6. Step 6: Final answer
    x = 14,725.32

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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.