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Finding the Fourth Proportional to 25,775.65, 38,669.01 and 8,005.96

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Solution

The fourth proportional to 25,775.65, 38,669.01 and 8,005.96 is: 12,010.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,775.65 : 38,669.01 = 8,005.96 : x
  2. Step 2: Convert to fraction form
    25,775.65/38,669.01 = 8,005.96/x
  3. Step 3: Cross multiply
    25,775.65x = 38,669.01 × 8,005.96
  4. Step 4: Simplify right side
    25,775.65x = 309,582,547.30
  5. Step 5: Solve for x
    x = 309,582,547.30/25,775.65
  6. Step 6: Final answer
    x = 12,010.66

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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.