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Finding the Fourth Proportional to 17,866.40, 24,657.15 and 9,911.19

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Solution

The fourth proportional to 17,866.40, 24,657.15 and 9,911.19 is: 13,678.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,866.40 : 24,657.15 = 9,911.19 : x
  2. Step 2: Convert to fraction form
    17,866.40/24,657.15 = 9,911.19/x
  3. Step 3: Cross multiply
    17,866.40x = 24,657.15 × 9,911.19
  4. Step 4: Simplify right side
    17,866.40x = 244,381,698.51
  5. Step 5: Solve for x
    x = 244,381,698.51/17,866.40
  6. Step 6: Final answer
    x = 13,678.28

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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.