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Finding the Fourth Proportional to 14,446.40, 19,937.76 and 8,160.80

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Solution

The fourth proportional to 14,446.40, 19,937.76 and 8,160.80 is: 11,262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,446.40 : 19,937.76 = 8,160.80 : x
  2. Step 2: Convert to fraction form
    14,446.40/19,937.76 = 8,160.80/x
  3. Step 3: Cross multiply
    14,446.40x = 19,937.76 × 8,160.80
  4. Step 4: Simplify right side
    14,446.40x = 162,708,071.81
  5. Step 5: Solve for x
    x = 162,708,071.81/14,446.40
  6. Step 6: Final answer
    x = 11,262.88

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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.