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Finding the Fourth Proportional to 14,612.64, 20,162.16 and 9,899.52

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Solution

The fourth proportional to 14,612.64, 20,162.16 and 9,899.52 is: 13,659.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,612.64 : 20,162.16 = 9,899.52 : x
  2. Step 2: Convert to fraction form
    14,612.64/20,162.16 = 9,899.52/x
  3. Step 3: Cross multiply
    14,612.64x = 20,162.16 × 9,899.52
  4. Step 4: Simplify right side
    14,612.64x = 199,595,706.16
  5. Step 5: Solve for x
    x = 199,595,706.16/14,612.64
  6. Step 6: Final answer
    x = 13,659.11

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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.