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Finding the Fourth Proportional to 12,458.32, 17,192.82 and 7,154.08

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Solution

The fourth proportional to 12,458.32, 17,192.82 and 7,154.08 is: 9,872.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,458.32 : 17,192.82 = 7,154.08 : x
  2. Step 2: Convert to fraction form
    12,458.32/17,192.82 = 7,154.08/x
  3. Step 3: Cross multiply
    12,458.32x = 17,192.82 × 7,154.08
  4. Step 4: Simplify right side
    12,458.32x = 122,998,809.71
  5. Step 5: Solve for x
    x = 122,998,809.71/12,458.32
  6. Step 6: Final answer
    x = 9,872.82

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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.