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Finding the Fourth Proportional to 23,478.87, 32,400.84 and 12,868.47

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Solution

The fourth proportional to 23,478.87, 32,400.84 and 12,868.47 is: 17,758.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,478.87 : 32,400.84 = 12,868.47 : x
  2. Step 2: Convert to fraction form
    23,478.87/32,400.84 = 12,868.47/x
  3. Step 3: Cross multiply
    23,478.87x = 32,400.84 × 12,868.47
  4. Step 4: Simplify right side
    23,478.87x = 416,949,237.51
  5. Step 5: Solve for x
    x = 416,949,237.51/23,478.87
  6. Step 6: Final answer
    x = 17,758.49

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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.