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Finding the Fourth Proportional to 14,887.76, 22,320.12 and 6,674

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Solution

The fourth proportional to 14,887.76, 22,320.12 and 6,674 is: 10,005.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,887.76 : 22,320.12 = 6,674 : x
  2. Step 2: Convert to fraction form
    14,887.76/22,320.12 = 6,674/x
  3. Step 3: Cross multiply
    14,887.76x = 22,320.12 × 6,674
  4. Step 4: Simplify right side
    14,887.76x = 148,964,480.88
  5. Step 5: Solve for x
    x = 148,964,480.88/14,887.76
  6. Step 6: Final answer
    x = 10,005.84

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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.