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Finding the Fourth Proportional to 22,412.68, 33,619.38 and 7,419.76

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Solution

The fourth proportional to 22,412.68, 33,619.38 and 7,419.76 is: 11,129.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,412.68 : 33,619.38 = 7,419.76 : x
  2. Step 2: Convert to fraction form
    22,412.68/33,619.38 = 7,419.76/x
  3. Step 3: Cross multiply
    22,412.68x = 33,619.38 × 7,419.76
  4. Step 4: Simplify right side
    22,412.68x = 249,447,730.95
  5. Step 5: Solve for x
    x = 249,447,730.95/22,412.68
  6. Step 6: Final answer
    x = 11,129.76

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1.5x scale

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.