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Finding the Fourth Proportional to 22,335.27, 30,823.10 and 12,264.74

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Solution

The fourth proportional to 22,335.27, 30,823.10 and 12,264.74 is: 16,925.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,335.27 : 30,823.10 = 12,264.74 : x
  2. Step 2: Convert to fraction form
    22,335.27/30,823.10 = 12,264.74/x
  3. Step 3: Cross multiply
    22,335.27x = 30,823.10 × 12,264.74
  4. Step 4: Simplify right side
    22,335.27x = 378,037,207.64
  5. Step 5: Solve for x
    x = 378,037,207.64/22,335.27
  6. Step 6: Final answer
    x = 16,925.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.