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Finding the Fourth Proportional to 25,442.32, 35,105.86 and 15,364

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Solution

The fourth proportional to 25,442.32, 35,105.86 and 15,364 is: 21,199.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,442.32 : 35,105.86 = 15,364 : x
  2. Step 2: Convert to fraction form
    25,442.32/35,105.86 = 15,364/x
  3. Step 3: Cross multiply
    25,442.32x = 35,105.86 × 15,364
  4. Step 4: Simplify right side
    25,442.32x = 539,366,433.04
  5. Step 5: Solve for x
    x = 539,366,433.04/25,442.32
  6. Step 6: Final answer
    x = 21,199.58

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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.