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Finding the Fourth Proportional to 14,777.32, 22,166 and 8,617

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Solution

The fourth proportional to 14,777.32, 22,166 and 8,617 is: 12,925.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,777.32 : 22,166 = 8,617 : x
  2. Step 2: Convert to fraction form
    14,777.32/22,166 = 8,617/x
  3. Step 3: Cross multiply
    14,777.32x = 22,166 × 8,617
  4. Step 4: Simplify right side
    14,777.32x = 191,004,422
  5. Step 5: Solve for x
    x = 191,004,422/14,777.32
  6. Step 6: Final answer
    x = 12,925.51

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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.