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Finding the Fourth Proportional to 12,702.32, 17,527.56 and 7,113.32

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Solution

The fourth proportional to 12,702.32, 17,527.56 and 7,113.32 is: 9,815.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.32 : 17,527.56 = 7,113.32 : x
  2. Step 2: Convert to fraction form
    12,702.32/17,527.56 = 7,113.32/x
  3. Step 3: Cross multiply
    12,702.32x = 17,527.56 × 7,113.32
  4. Step 4: Simplify right side
    12,702.32x = 124,679,143.10
  5. Step 5: Solve for x
    x = 124,679,143.10/12,702.32
  6. Step 6: Final answer
    x = 9,815.46

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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.