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Finding the Fourth Proportional to 16,461.16, 22,713.70 and 9,748.84

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Solution

The fourth proportional to 16,461.16, 22,713.70 and 9,748.84 is: 13,451.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,461.16 : 22,713.70 = 9,748.84 : x
  2. Step 2: Convert to fraction form
    16,461.16/22,713.70 = 9,748.84/x
  3. Step 3: Cross multiply
    16,461.16x = 22,713.70 × 9,748.84
  4. Step 4: Simplify right side
    16,461.16x = 221,432,227.11
  5. Step 5: Solve for x
    x = 221,432,227.11/16,461.16
  6. Step 6: Final answer
    x = 13,451.80

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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.