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Finding the Fourth Proportional to 23,656.14, 32,646.46 and 13,046.46

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Solution

The fourth proportional to 23,656.14, 32,646.46 and 13,046.46 is: 18,004.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,656.14 : 32,646.46 = 13,046.46 : x
  2. Step 2: Convert to fraction form
    23,656.14/32,646.46 = 13,046.46/x
  3. Step 3: Cross multiply
    23,656.14x = 32,646.46 × 13,046.46
  4. Step 4: Simplify right side
    23,656.14x = 425,920,734.53
  5. Step 5: Solve for x
    x = 425,920,734.53/23,656.14
  6. Step 6: Final answer
    x = 18,004.66

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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.