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Finding the Fourth Proportional to 14,717.76, 22,028.04 and 9,175.20

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Solution

The fourth proportional to 14,717.76, 22,028.04 and 9,175.20 is: 13,732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,717.76 : 22,028.04 = 9,175.20 : x
  2. Step 2: Convert to fraction form
    14,717.76/22,028.04 = 9,175.20/x
  3. Step 3: Cross multiply
    14,717.76x = 22,028.04 × 9,175.20
  4. Step 4: Simplify right side
    14,717.76x = 202,111,672.61
  5. Step 5: Solve for x
    x = 202,111,672.61/14,717.76
  6. Step 6: Final answer
    x = 13,732.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.