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Finding the Fourth Proportional to 14,866.53, 22,282.57 and 8,279.50

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Solution

The fourth proportional to 14,866.53, 22,282.57 and 8,279.50 is: 12,409.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,866.53 : 22,282.57 = 8,279.50 : x
  2. Step 2: Convert to fraction form
    14,866.53/22,282.57 = 8,279.50/x
  3. Step 3: Cross multiply
    14,866.53x = 22,282.57 × 8,279.50
  4. Step 4: Simplify right side
    14,866.53x = 184,488,538.32
  5. Step 5: Solve for x
    x = 184,488,538.32/14,866.53
  6. Step 6: Final answer
    x = 12,409.66

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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.