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Finding the Fourth Proportional to 17,854.70, 24,637.73 and 9,896.72

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Solution

The fourth proportional to 17,854.70, 24,637.73 and 9,896.72 is: 13,656.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,854.70 : 24,637.73 = 9,896.72 : x
  2. Step 2: Convert to fraction form
    17,854.70/24,637.73 = 9,896.72/x
  3. Step 3: Cross multiply
    17,854.70x = 24,637.73 × 9,896.72
  4. Step 4: Simplify right side
    17,854.70x = 243,832,542.57
  5. Step 5: Solve for x
    x = 243,832,542.57/17,854.70
  6. Step 6: Final answer
    x = 13,656.49

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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.