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Finding the Fourth Proportional to 16,751.70, 23,117.45 and 9,678.17

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Solution

The fourth proportional to 16,751.70, 23,117.45 and 9,678.17 is: 13,355.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,751.70 : 23,117.45 = 9,678.17 : x
  2. Step 2: Convert to fraction form
    16,751.70/23,117.45 = 9,678.17/x
  3. Step 3: Cross multiply
    16,751.70x = 23,117.45 × 9,678.17
  4. Step 4: Simplify right side
    16,751.70x = 223,734,447.09
  5. Step 5: Solve for x
    x = 223,734,447.09/16,751.70
  6. Step 6: Final answer
    x = 13,355.92

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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.