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Finding the Fourth Proportional to 24,230.65, 36,341.75 and 6,461.53

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Solution

The fourth proportional to 24,230.65, 36,341.75 and 6,461.53 is: 9,691.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,230.65 : 36,341.75 = 6,461.53 : x
  2. Step 2: Convert to fraction form
    24,230.65/36,341.75 = 6,461.53/x
  3. Step 3: Cross multiply
    24,230.65x = 36,341.75 × 6,461.53
  4. Step 4: Simplify right side
    24,230.65x = 234,823,275.57
  5. Step 5: Solve for x
    x = 234,823,275.57/24,230.65
  6. Step 6: Final answer
    x = 9,691.17

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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.