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Finding the Fourth Proportional to 25,970.91, 38,990.94 and 17,565.64

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Solution

The fourth proportional to 25,970.91, 38,990.94 and 17,565.64 is: 26,371.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,970.91 : 38,990.94 = 17,565.64 : x
  2. Step 2: Convert to fraction form
    25,970.91/38,990.94 = 17,565.64/x
  3. Step 3: Cross multiply
    25,970.91x = 38,990.94 × 17,565.64
  4. Step 4: Simplify right side
    25,970.91x = 684,900,815.30
  5. Step 5: Solve for x
    x = 684,900,815.30/25,970.91
  6. Step 6: Final answer
    x = 26,371.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.