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Finding the Fourth Proportional to 25,601.64, 38,402.43 and 7,133.64

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Solution

The fourth proportional to 25,601.64, 38,402.43 and 7,133.64 is: 10,700.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,601.64 : 38,402.43 = 7,133.64 : x
  2. Step 2: Convert to fraction form
    25,601.64/38,402.43 = 7,133.64/x
  3. Step 3: Cross multiply
    25,601.64x = 38,402.43 × 7,133.64
  4. Step 4: Simplify right side
    25,601.64x = 273,949,110.75
  5. Step 5: Solve for x
    x = 273,949,110.75/25,601.64
  6. Step 6: Final answer
    x = 10,700.45

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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.