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Finding the Fourth Proportional to 23,367.40, 35,056.68 and 7,785.16

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Solution

The fourth proportional to 23,367.40, 35,056.68 and 7,785.16 is: 11,679.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,367.40 : 35,056.68 = 7,785.16 : x
  2. Step 2: Convert to fraction form
    23,367.40/35,056.68 = 7,785.16/x
  3. Step 3: Cross multiply
    23,367.40x = 35,056.68 × 7,785.16
  4. Step 4: Simplify right side
    23,367.40x = 272,921,862.87
  5. Step 5: Solve for x
    x = 272,921,862.87/23,367.40
  6. Step 6: Final answer
    x = 11,679.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.