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Finding the Fourth Proportional to 14,876.76, 20,543.76 and 9,580.68

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Solution

The fourth proportional to 14,876.76, 20,543.76 and 9,580.68 is: 13,230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,876.76 : 20,543.76 = 9,580.68 : x
  2. Step 2: Convert to fraction form
    14,876.76/20,543.76 = 9,580.68/x
  3. Step 3: Cross multiply
    14,876.76x = 20,543.76 × 9,580.68
  4. Step 4: Simplify right side
    14,876.76x = 196,823,190.56
  5. Step 5: Solve for x
    x = 196,823,190.56/14,876.76
  6. Step 6: Final answer
    x = 13,230.25

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1.5x scale

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.