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Finding the Fourth Proportional to 22,842.64, 31,513.50 and 13,888.72

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Solution

The fourth proportional to 22,842.64, 31,513.50 and 13,888.72 is: 19,160.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.64 : 31,513.50 = 13,888.72 : x
  2. Step 2: Convert to fraction form
    22,842.64/31,513.50 = 13,888.72/x
  3. Step 3: Cross multiply
    22,842.64x = 31,513.50 × 13,888.72
  4. Step 4: Simplify right side
    22,842.64x = 437,682,177.72
  5. Step 5: Solve for x
    x = 437,682,177.72/22,842.64
  6. Step 6: Final answer
    x = 19,160.75

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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.