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Finding the Fourth Proportional to 23,475, 32,395.50 and 13,544.76

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Solution

The fourth proportional to 23,475, 32,395.50 and 13,544.76 is: 18,691.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,475 : 32,395.50 = 13,544.76 : x
  2. Step 2: Convert to fraction form
    23,475/32,395.50 = 13,544.76/x
  3. Step 3: Cross multiply
    23,475x = 32,395.50 × 13,544.76
  4. Step 4: Simplify right side
    23,475x = 438,789,272.58
  5. Step 5: Solve for x
    x = 438,789,272.58/23,475
  6. Step 6: Final answer
    x = 18,691.77

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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.