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Finding the Fourth Proportional to 25,856.32, 35,695.34 and 17,402.88

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Solution

The fourth proportional to 25,856.32, 35,695.34 and 17,402.88 is: 24,025.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,856.32 : 35,695.34 = 17,402.88 : x
  2. Step 2: Convert to fraction form
    25,856.32/35,695.34 = 17,402.88/x
  3. Step 3: Cross multiply
    25,856.32x = 35,695.34 × 17,402.88
  4. Step 4: Simplify right side
    25,856.32x = 621,201,718.58
  5. Step 5: Solve for x
    x = 621,201,718.58/25,856.32
  6. Step 6: Final answer
    x = 24,025.14

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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.