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Finding the Fourth Proportional to 22,402.76, 33,580.70 and 8,357.14

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Solution

The fourth proportional to 22,402.76, 33,580.70 and 8,357.14 is: 12,526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,402.76 : 33,580.70 = 8,357.14 : x
  2. Step 2: Convert to fraction form
    22,402.76/33,580.70 = 8,357.14/x
  3. Step 3: Cross multiply
    22,402.76x = 33,580.70 × 8,357.14
  4. Step 4: Simplify right side
    22,402.76x = 280,638,401.51
  5. Step 5: Solve for x
    x = 280,638,401.51/22,402.76
  6. Step 6: Final answer
    x = 12,526.96

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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.