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Finding the Fourth Proportional to 14,649.74, 20,217.88 and 8,277.50

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Solution

The fourth proportional to 14,649.74, 20,217.88 and 8,277.50 is: 11,423.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,649.74 : 20,217.88 = 8,277.50 : x
  2. Step 2: Convert to fraction form
    14,649.74/20,217.88 = 8,277.50/x
  3. Step 3: Cross multiply
    14,649.74x = 20,217.88 × 8,277.50
  4. Step 4: Simplify right side
    14,649.74x = 167,353,501.70
  5. Step 5: Solve for x
    x = 167,353,501.70/14,649.74
  6. Step 6: Final answer
    x = 11,423.65

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