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Finding the Fourth Proportional to 25,994.65, 38,995.02 and 9,122.50

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Solution

The fourth proportional to 25,994.65, 38,995.02 and 9,122.50 is: 13,684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,994.65 : 38,995.02 = 9,122.50 : x
  2. Step 2: Convert to fraction form
    25,994.65/38,995.02 = 9,122.50/x
  3. Step 3: Cross multiply
    25,994.65x = 38,995.02 × 9,122.50
  4. Step 4: Simplify right side
    25,994.65x = 355,732,024.34
  5. Step 5: Solve for x
    x = 355,732,024.34/25,994.65
  6. Step 6: Final answer
    x = 13,684.82

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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.