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Finding the Fourth Proportional to 14,746.98, 20,350.80 and 8,459.31

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Solution

The fourth proportional to 14,746.98, 20,350.80 and 8,459.31 is: 11,673.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,746.98 : 20,350.80 = 8,459.31 : x
  2. Step 2: Convert to fraction form
    14,746.98/20,350.80 = 8,459.31/x
  3. Step 3: Cross multiply
    14,746.98x = 20,350.80 × 8,459.31
  4. Step 4: Simplify right side
    14,746.98x = 172,153,725.95
  5. Step 5: Solve for x
    x = 172,153,725.95/14,746.98
  6. Step 6: Final answer
    x = 11,673.83

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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.