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Finding the Fourth Proportional to 12,417.71, 17,142.79 and 9,578.72

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Solution

The fourth proportional to 12,417.71, 17,142.79 and 9,578.72 is: 13,223.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417.71 : 17,142.79 = 9,578.72 : x
  2. Step 2: Convert to fraction form
    12,417.71/17,142.79 = 9,578.72/x
  3. Step 3: Cross multiply
    12,417.71x = 17,142.79 × 9,578.72
  4. Step 4: Simplify right side
    12,417.71x = 164,205,923.66
  5. Step 5: Solve for x
    x = 164,205,923.66/12,417.71
  6. Step 6: Final answer
    x = 13,223.52

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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.