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Finding the Fourth Proportional to 25,582.16, 38,378.43 and 8,047.91

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Solution

The fourth proportional to 25,582.16, 38,378.43 and 8,047.91 is: 12,073.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,582.16 : 38,378.43 = 8,047.91 : x
  2. Step 2: Convert to fraction form
    25,582.16/38,378.43 = 8,047.91/x
  3. Step 3: Cross multiply
    25,582.16x = 38,378.43 × 8,047.91
  4. Step 4: Simplify right side
    25,582.16x = 308,866,150.58
  5. Step 5: Solve for x
    x = 308,866,150.58/25,582.16
  6. Step 6: Final answer
    x = 12,073.50

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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.