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Finding the Fourth Proportional to 23,506.76, 32,434.26 and 13,565

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Solution

The fourth proportional to 23,506.76, 32,434.26 and 13,565 is: 18,716.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,506.76 : 32,434.26 = 13,565 : x
  2. Step 2: Convert to fraction form
    23,506.76/32,434.26 = 13,565/x
  3. Step 3: Cross multiply
    23,506.76x = 32,434.26 × 13,565
  4. Step 4: Simplify right side
    23,506.76x = 439,970,736.90
  5. Step 5: Solve for x
    x = 439,970,736.90/23,506.76
  6. Step 6: Final answer
    x = 18,716.77

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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.