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Finding the Fourth Proportional to 25,396.30, 38,095.53 and 7,866.46

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Solution

The fourth proportional to 25,396.30, 38,095.53 and 7,866.46 is: 11,800.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,396.30 : 38,095.53 = 7,866.46 : x
  2. Step 2: Convert to fraction form
    25,396.30/38,095.53 = 7,866.46/x
  3. Step 3: Cross multiply
    25,396.30x = 38,095.53 × 7,866.46
  4. Step 4: Simplify right side
    25,396.30x = 299,676,962.92
  5. Step 5: Solve for x
    x = 299,676,962.92/25,396.30
  6. Step 6: Final answer
    x = 11,800.02

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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.