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Finding the Fourth Proportional to 12,480, 17,222.45 and 7,175.13

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Solution

The fourth proportional to 12,480, 17,222.45 and 7,175.13 is: 9,901.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,480 : 17,222.45 = 7,175.13 : x
  2. Step 2: Convert to fraction form
    12,480/17,222.45 = 7,175.13/x
  3. Step 3: Cross multiply
    12,480x = 17,222.45 × 7,175.13
  4. Step 4: Simplify right side
    12,480x = 123,573,281.79
  5. Step 5: Solve for x
    x = 123,573,281.79/12,480
  6. Step 6: Final answer
    x = 9,901.71

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