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Finding the Fourth Proportional to 23,641.86, 32,626.71 and 13,032.30

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Solution

The fourth proportional to 23,641.86, 32,626.71 and 13,032.30 is: 17,985.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,641.86 : 32,626.71 = 13,032.30 : x
  2. Step 2: Convert to fraction form
    23,641.86/32,626.71 = 13,032.30/x
  3. Step 3: Cross multiply
    23,641.86x = 32,626.71 × 13,032.30
  4. Step 4: Simplify right side
    23,641.86x = 425,201,072.73
  5. Step 5: Solve for x
    x = 425,201,072.73/23,641.86
  6. Step 6: Final answer
    x = 17,985.09

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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.