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Finding the Fourth Proportional to 22,432.32, 33,648.74 and 9,607.76

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Solution

The fourth proportional to 22,432.32, 33,648.74 and 9,607.76 is: 14,411.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432.32 : 33,648.74 = 9,607.76 : x
  2. Step 2: Convert to fraction form
    22,432.32/33,648.74 = 9,607.76/x
  3. Step 3: Cross multiply
    22,432.32x = 33,648.74 × 9,607.76
  4. Step 4: Simplify right side
    22,432.32x = 323,289,018.22
  5. Step 5: Solve for x
    x = 323,289,018.22/22,432.32
  6. Step 6: Final answer
    x = 14,411.75

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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.