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Finding the Fourth Proportional to 14,656.96, 20,220.80 and 8,686.40

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Solution

The fourth proportional to 14,656.96, 20,220.80 and 8,686.40 is: 11,983.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656.96 : 20,220.80 = 8,686.40 : x
  2. Step 2: Convert to fraction form
    14,656.96/20,220.80 = 8,686.40/x
  3. Step 3: Cross multiply
    14,656.96x = 20,220.80 × 8,686.40
  4. Step 4: Simplify right side
    14,656.96x = 175,645,957.12
  5. Step 5: Solve for x
    x = 175,645,957.12/14,656.96
  6. Step 6: Final answer
    x = 11,983.79

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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.