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Finding the Fourth Proportional to 12,737.06, 17,577.16 and 7,148.06

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Solution

The fourth proportional to 12,737.06, 17,577.16 and 7,148.06 is: 9,864.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,737.06 : 17,577.16 = 7,148.06 : x
  2. Step 2: Convert to fraction form
    12,737.06/17,577.16 = 7,148.06/x
  3. Step 3: Cross multiply
    12,737.06x = 17,577.16 × 7,148.06
  4. Step 4: Simplify right side
    12,737.06x = 125,642,594.31
  5. Step 5: Solve for x
    x = 125,642,594.31/12,737.06
  6. Step 6: Final answer
    x = 9,864.33

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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.