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Finding the Fourth Proportional to 22,433.76, 33,654.36 and 8,398.74

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Solution

The fourth proportional to 22,433.76, 33,654.36 and 8,398.74 is: 12,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,433.76 : 33,654.36 = 8,398.74 : x
  2. Step 2: Convert to fraction form
    22,433.76/33,654.36 = 8,398.74/x
  3. Step 3: Cross multiply
    22,433.76x = 33,654.36 × 8,398.74
  4. Step 4: Simplify right side
    22,433.76x = 282,654,219.51
  5. Step 5: Solve for x
    x = 282,654,219.51/22,433.76
  6. Step 6: Final answer
    x = 12,599.50

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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.