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Finding the Fourth Proportional to 17,461.76, 24,125.45 and 12,180.15

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Solution

The fourth proportional to 17,461.76, 24,125.45 and 12,180.15 is: 16,828.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,461.76 : 24,125.45 = 12,180.15 : x
  2. Step 2: Convert to fraction form
    17,461.76/24,125.45 = 12,180.15/x
  3. Step 3: Cross multiply
    17,461.76x = 24,125.45 × 12,180.15
  4. Step 4: Simplify right side
    17,461.76x = 293,851,538.92
  5. Step 5: Solve for x
    x = 293,851,538.92/17,461.76
  6. Step 6: Final answer
    x = 16,828.29

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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.