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Finding the Fourth Proportional to 23,465.60, 32,365.68 and 15,074

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Solution

The fourth proportional to 23,465.60, 32,365.68 and 15,074 is: 20,791.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,465.60 : 32,365.68 = 15,074 : x
  2. Step 2: Convert to fraction form
    23,465.60/32,365.68 = 15,074/x
  3. Step 3: Cross multiply
    23,465.60x = 32,365.68 × 15,074
  4. Step 4: Simplify right side
    23,465.60x = 487,880,260.32
  5. Step 5: Solve for x
    x = 487,880,260.32/23,465.60
  6. Step 6: Final answer
    x = 20,791.30

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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.