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Finding the Fourth Proportional to 21,857.77, 32,802.45 and 8,702.56

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Solution

The fourth proportional to 21,857.77, 32,802.45 and 8,702.56 is: 13,060.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,857.77 : 32,802.45 = 8,702.56 : x
  2. Step 2: Convert to fraction form
    21,857.77/32,802.45 = 8,702.56/x
  3. Step 3: Cross multiply
    21,857.77x = 32,802.45 × 8,702.56
  4. Step 4: Simplify right side
    21,857.77x = 285,465,289.27
  5. Step 5: Solve for x
    x = 285,465,289.27/21,857.77
  6. Step 6: Final answer
    x = 13,060.13

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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.