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Finding the Fourth Proportional to 14,977.80, 20,657.70 and 9,673.92

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Solution

The fourth proportional to 14,977.80, 20,657.70 and 9,673.92 is: 13,342.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,977.80 : 20,657.70 = 9,673.92 : x
  2. Step 2: Convert to fraction form
    14,977.80/20,657.70 = 9,673.92/x
  3. Step 3: Cross multiply
    14,977.80x = 20,657.70 × 9,673.92
  4. Step 4: Simplify right side
    14,977.80x = 199,840,937.18
  5. Step 5: Solve for x
    x = 199,840,937.18/14,977.80
  6. Step 6: Final answer
    x = 13,342.48

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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.