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Finding the Fourth Proportional to 23,750.74, 32,775.86 and 13,140.14

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Solution

The fourth proportional to 23,750.74, 32,775.86 and 13,140.14 is: 18,133.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,750.74 : 32,775.86 = 13,140.14 : x
  2. Step 2: Convert to fraction form
    23,750.74/32,775.86 = 13,140.14/x
  3. Step 3: Cross multiply
    23,750.74x = 32,775.86 × 13,140.14
  4. Step 4: Simplify right side
    23,750.74x = 430,679,389.02
  5. Step 5: Solve for x
    x = 430,679,389.02/23,750.74
  6. Step 6: Final answer
    x = 18,133.30

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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.