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Finding the Fourth Proportional to 17,411.65, 24,028.08 and 9,454

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Solution

The fourth proportional to 17,411.65, 24,028.08 and 9,454 is: 13,046.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,411.65 : 24,028.08 = 9,454 : x
  2. Step 2: Convert to fraction form
    17,411.65/24,028.08 = 9,454/x
  3. Step 3: Cross multiply
    17,411.65x = 24,028.08 × 9,454
  4. Step 4: Simplify right side
    17,411.65x = 227,161,468.32
  5. Step 5: Solve for x
    x = 227,161,468.32/17,411.65
  6. Step 6: Final answer
    x = 13,046.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.