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Finding the Fourth Proportional to 14,488.50, 19,994.22 and 8,202.18

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Solution

The fourth proportional to 14,488.50, 19,994.22 and 8,202.18 is: 11,319.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,488.50 : 19,994.22 = 8,202.18 : x
  2. Step 2: Convert to fraction form
    14,488.50/19,994.22 = 8,202.18/x
  3. Step 3: Cross multiply
    14,488.50x = 19,994.22 × 8,202.18
  4. Step 4: Simplify right side
    14,488.50x = 163,996,191.40
  5. Step 5: Solve for x
    x = 163,996,191.40/14,488.50
  6. Step 6: Final answer
    x = 11,319.06

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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.