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Finding the Fourth Proportional to 25,785.76, 35,590.80 and 15,844

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Solution

The fourth proportional to 25,785.76, 35,590.80 and 15,844 is: 21,868.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,785.76 : 35,590.80 = 15,844 : x
  2. Step 2: Convert to fraction form
    25,785.76/35,590.80 = 15,844/x
  3. Step 3: Cross multiply
    25,785.76x = 35,590.80 × 15,844
  4. Step 4: Simplify right side
    25,785.76x = 563,900,635.20
  5. Step 5: Solve for x
    x = 563,900,635.20/25,785.76
  6. Step 6: Final answer
    x = 21,868.68

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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.