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Finding the Fourth Proportional to 14,420.18, 19,901.76 and 8,454.20

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Solution

The fourth proportional to 14,420.18, 19,901.76 and 8,454.20 is: 11,667.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,420.18 : 19,901.76 = 8,454.20 : x
  2. Step 2: Convert to fraction form
    14,420.18/19,901.76 = 8,454.20/x
  3. Step 3: Cross multiply
    14,420.18x = 19,901.76 × 8,454.20
  4. Step 4: Simplify right side
    14,420.18x = 168,253,459.39
  5. Step 5: Solve for x
    x = 168,253,459.39/14,420.18
  6. Step 6: Final answer
    x = 11,667.92

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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.