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Finding the Fourth Proportional to 12,259.52, 18,378.88 and 4,869.20

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Solution

The fourth proportional to 12,259.52, 18,378.88 and 4,869.20 is: 7,299.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,259.52 : 18,378.88 = 4,869.20 : x
  2. Step 2: Convert to fraction form
    12,259.52/18,378.88 = 4,869.20/x
  3. Step 3: Cross multiply
    12,259.52x = 18,378.88 × 4,869.20
  4. Step 4: Simplify right side
    12,259.52x = 89,490,442.50
  5. Step 5: Solve for x
    x = 89,490,442.50/12,259.52
  6. Step 6: Final answer
    x = 7,299.67

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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.