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Finding the Fourth Proportional to 21,178.73, 31,762.76 and 8,702.20

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Solution

The fourth proportional to 21,178.73, 31,762.76 and 8,702.20 is: 13,051.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,178.73 : 31,762.76 = 8,702.20 : x
  2. Step 2: Convert to fraction form
    21,178.73/31,762.76 = 8,702.20/x
  3. Step 3: Cross multiply
    21,178.73x = 31,762.76 × 8,702.20
  4. Step 4: Simplify right side
    21,178.73x = 276,405,732.07
  5. Step 5: Solve for x
    x = 276,405,732.07/21,178.73
  6. Step 6: Final answer
    x = 13,051.10

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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.