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Finding the Fourth Proportional to 12,347.10, 17,033.76 and 7,565.22

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Solution

The fourth proportional to 12,347.10, 17,033.76 and 7,565.22 is: 10,436.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.10 : 17,033.76 = 7,565.22 : x
  2. Step 2: Convert to fraction form
    12,347.10/17,033.76 = 7,565.22/x
  3. Step 3: Cross multiply
    12,347.10x = 17,033.76 × 7,565.22
  4. Step 4: Simplify right side
    12,347.10x = 128,864,141.83
  5. Step 5: Solve for x
    x = 128,864,141.83/12,347.10
  6. Step 6: Final answer
    x = 10,436.79

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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.