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Finding the Fourth Proportional to 21,415.76, 32,123.52 and 9,566.44

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Solution

The fourth proportional to 21,415.76, 32,123.52 and 9,566.44 is: 14,349.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,415.76 : 32,123.52 = 9,566.44 : x
  2. Step 2: Convert to fraction form
    21,415.76/32,123.52 = 9,566.44/x
  3. Step 3: Cross multiply
    21,415.76x = 32,123.52 × 9,566.44
  4. Step 4: Simplify right side
    21,415.76x = 307,307,726.67
  5. Step 5: Solve for x
    x = 307,307,726.67/21,415.76
  6. Step 6: Final answer
    x = 14,349.61

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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.