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Finding the Fourth Proportional to 13,350.16, 18,430.72 and 8,880

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Solution

The fourth proportional to 13,350.16, 18,430.72 and 8,880 is: 12,259.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,350.16 : 18,430.72 = 8,880 : x
  2. Step 2: Convert to fraction form
    13,350.16/18,430.72 = 8,880/x
  3. Step 3: Cross multiply
    13,350.16x = 18,430.72 × 8,880
  4. Step 4: Simplify right side
    13,350.16x = 163,664,793.60
  5. Step 5: Solve for x
    x = 163,664,793.60/13,350.16
  6. Step 6: Final answer
    x = 12,259.39

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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.