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Finding the Fourth Proportional to 12,702.30, 17,527.59 and 7,036.26

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Solution

The fourth proportional to 12,702.30, 17,527.59 and 7,036.26 is: 9,709.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.30 : 17,527.59 = 7,036.26 : x
  2. Step 2: Convert to fraction form
    12,702.30/17,527.59 = 7,036.26/x
  3. Step 3: Cross multiply
    12,702.30x = 17,527.59 × 7,036.26
  4. Step 4: Simplify right side
    12,702.30x = 123,328,680.41
  5. Step 5: Solve for x
    x = 123,328,680.41/12,702.30
  6. Step 6: Final answer
    x = 9,709.16

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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.