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Finding the Fourth Proportional to 17,702.59, 24,430.27 and 9,745.55

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Solution

The fourth proportional to 17,702.59, 24,430.27 and 9,745.55 is: 13,449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.59 : 24,430.27 = 9,745.55 : x
  2. Step 2: Convert to fraction form
    17,702.59/24,430.27 = 9,745.55/x
  3. Step 3: Cross multiply
    17,702.59x = 24,430.27 × 9,745.55
  4. Step 4: Simplify right side
    17,702.59x = 238,086,454.51
  5. Step 5: Solve for x
    x = 238,086,454.51/17,702.59
  6. Step 6: Final answer
    x = 13,449.25

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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.