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Finding the Fourth Proportional to 23,774.64, 32,810.88 and 13,165.26

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Solution

The fourth proportional to 23,774.64, 32,810.88 and 13,165.26 is: 18,169.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.64 : 32,810.88 = 13,165.26 : x
  2. Step 2: Convert to fraction form
    23,774.64/32,810.88 = 13,165.26/x
  3. Step 3: Cross multiply
    23,774.64x = 32,810.88 × 13,165.26
  4. Step 4: Simplify right side
    23,774.64x = 431,963,766.03
  5. Step 5: Solve for x
    x = 431,963,766.03/23,774.64
  6. Step 6: Final answer
    x = 18,169.10

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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.