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Finding the Fourth Proportional to 14,862.42, 20,510.13 and 8,056.44

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Solution

The fourth proportional to 14,862.42, 20,510.13 and 8,056.44 is: 11,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,862.42 : 20,510.13 = 8,056.44 : x
  2. Step 2: Convert to fraction form
    14,862.42/20,510.13 = 8,056.44/x
  3. Step 3: Cross multiply
    14,862.42x = 20,510.13 × 8,056.44
  4. Step 4: Simplify right side
    14,862.42x = 165,238,631.74
  5. Step 5: Solve for x
    x = 165,238,631.74/14,862.42
  6. Step 6: Final answer
    x = 11,117.88

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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.