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Finding the Fourth Proportional to 19,834.65, 29,752.31 and 9,298.89

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Solution

The fourth proportional to 19,834.65, 29,752.31 and 9,298.89 is: 13,948.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,834.65 : 29,752.31 = 9,298.89 : x
  2. Step 2: Convert to fraction form
    19,834.65/29,752.31 = 9,298.89/x
  3. Step 3: Cross multiply
    19,834.65x = 29,752.31 × 9,298.89
  4. Step 4: Simplify right side
    19,834.65x = 276,663,411.44
  5. Step 5: Solve for x
    x = 276,663,411.44/19,834.65
  6. Step 6: Final answer
    x = 13,948.49

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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.