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Finding the Fourth Proportional to 23,810.74, 32,860.15 and 13,200.14

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Solution

The fourth proportional to 23,810.74, 32,860.15 and 13,200.14 is: 18,216.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,810.74 : 32,860.15 = 13,200.14 : x
  2. Step 2: Convert to fraction form
    23,810.74/32,860.15 = 13,200.14/x
  3. Step 3: Cross multiply
    23,810.74x = 32,860.15 × 13,200.14
  4. Step 4: Simplify right side
    23,810.74x = 433,758,629.57
  5. Step 5: Solve for x
    x = 433,758,629.57/23,810.74
  6. Step 6: Final answer
    x = 18,216.93

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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.