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Finding the Fourth Proportional to 14,777.84, 22,147.51 and 6,002.50

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Solution

The fourth proportional to 14,777.84, 22,147.51 and 6,002.50 is: 8,995.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,777.84 : 22,147.51 = 6,002.50 : x
  2. Step 2: Convert to fraction form
    14,777.84/22,147.51 = 6,002.50/x
  3. Step 3: Cross multiply
    14,777.84x = 22,147.51 × 6,002.50
  4. Step 4: Simplify right side
    14,777.84x = 132,940,428.78
  5. Step 5: Solve for x
    x = 132,940,428.78/14,777.84
  6. Step 6: Final answer
    x = 8,995.93

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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.