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Finding the Fourth Proportional to 25,193.64, 34,760.16 and 14,582.64

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Solution

The fourth proportional to 25,193.64, 34,760.16 and 14,582.64 is: 20,119.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,193.64 : 34,760.16 = 14,582.64 : x
  2. Step 2: Convert to fraction form
    25,193.64/34,760.16 = 14,582.64/x
  3. Step 3: Cross multiply
    25,193.64x = 34,760.16 × 14,582.64
  4. Step 4: Simplify right side
    25,193.64x = 506,894,899.62
  5. Step 5: Solve for x
    x = 506,894,899.62/25,193.64
  6. Step 6: Final answer
    x = 20,119.95

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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.