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Finding the Fourth Proportional to 22,407.76, 33,608.76 and 7,616.08

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Solution

The fourth proportional to 22,407.76, 33,608.76 and 7,616.08 is: 11,423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,407.76 : 33,608.76 = 7,616.08 : x
  2. Step 2: Convert to fraction form
    22,407.76/33,608.76 = 7,616.08/x
  3. Step 3: Cross multiply
    22,407.76x = 33,608.76 × 7,616.08
  4. Step 4: Simplify right side
    22,407.76x = 255,967,004.86
  5. Step 5: Solve for x
    x = 255,967,004.86/22,407.76
  6. Step 6: Final answer
    x = 11,423.14

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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.