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Finding the Fourth Proportional to 25,465.92, 38,200.90 and 9,678.50

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Solution

The fourth proportional to 25,465.92, 38,200.90 and 9,678.50 is: 14,518.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,465.92 : 38,200.90 = 9,678.50 : x
  2. Step 2: Convert to fraction form
    25,465.92/38,200.90 = 9,678.50/x
  3. Step 3: Cross multiply
    25,465.92x = 38,200.90 × 9,678.50
  4. Step 4: Simplify right side
    25,465.92x = 369,727,410.65
  5. Step 5: Solve for x
    x = 369,727,410.65/25,465.92
  6. Step 6: Final answer
    x = 14,518.52

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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.