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Finding the Fourth Proportional to 17,702.72, 26,572.50 and 7,848.92

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Solution

The fourth proportional to 17,702.72, 26,572.50 and 7,848.92 is: 11,781.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.72 : 26,572.50 = 7,848.92 : x
  2. Step 2: Convert to fraction form
    17,702.72/26,572.50 = 7,848.92/x
  3. Step 3: Cross multiply
    17,702.72x = 26,572.50 × 7,848.92
  4. Step 4: Simplify right side
    17,702.72x = 208,565,293.84
  5. Step 5: Solve for x
    x = 208,565,293.84/17,702.72
  6. Step 6: Final answer
    x = 11,781.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.