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Finding the Fourth Proportional to 14,874, 20,526.12 and 8,250

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Solution

The fourth proportional to 14,874, 20,526.12 and 8,250 is: 11,385

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,874 : 20,526.12 = 8,250 : x
  2. Step 2: Convert to fraction form
    14,874/20,526.12 = 8,250/x
  3. Step 3: Cross multiply
    14,874x = 20,526.12 × 8,250
  4. Step 4: Simplify right side
    14,874x = 169,340,490
  5. Step 5: Solve for x
    x = 169,340,490/14,874
  6. Step 6: Final answer
    x = 11,385

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.