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Finding the Fourth Proportional to 23,213.28, 32,034.71 and 12,602.91

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Solution

The fourth proportional to 23,213.28, 32,034.71 and 12,602.91 is: 17,392.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,213.28 : 32,034.71 = 12,602.91 : x
  2. Step 2: Convert to fraction form
    23,213.28/32,034.71 = 12,602.91/x
  3. Step 3: Cross multiply
    23,213.28x = 32,034.71 × 12,602.91
  4. Step 4: Simplify right side
    23,213.28x = 403,730,503.99
  5. Step 5: Solve for x
    x = 403,730,503.99/23,213.28
  6. Step 6: Final answer
    x = 17,392.22

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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.