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Finding the Fourth Proportional to 23,614.50, 32,587.52 and 13,004.22

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Solution

The fourth proportional to 23,614.50, 32,587.52 and 13,004.22 is: 17,945.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,614.50 : 32,587.52 = 13,004.22 : x
  2. Step 2: Convert to fraction form
    23,614.50/32,587.52 = 13,004.22/x
  3. Step 3: Cross multiply
    23,614.50x = 32,587.52 × 13,004.22
  4. Step 4: Simplify right side
    23,614.50x = 423,775,214.31
  5. Step 5: Solve for x
    x = 423,775,214.31/23,614.50
  6. Step 6: Final answer
    x = 17,945.55

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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.