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Finding the Fourth Proportional to 23,737.74, 32,758.02 and 13,662.50

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Solution

The fourth proportional to 23,737.74, 32,758.02 and 13,662.50 is: 18,854.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,737.74 : 32,758.02 = 13,662.50 : x
  2. Step 2: Convert to fraction form
    23,737.74/32,758.02 = 13,662.50/x
  3. Step 3: Cross multiply
    23,737.74x = 32,758.02 × 13,662.50
  4. Step 4: Simplify right side
    23,737.74x = 447,556,448.25
  5. Step 5: Solve for x
    x = 447,556,448.25/23,737.74
  6. Step 6: Final answer
    x = 18,854.21

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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.