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Finding the Fourth Proportional to 24,101.49, 36,153.78 and 7,460.13

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Solution

The fourth proportional to 24,101.49, 36,153.78 and 7,460.13 is: 11,190.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,101.49 : 36,153.78 = 7,460.13 : x
  2. Step 2: Convert to fraction form
    24,101.49/36,153.78 = 7,460.13/x
  3. Step 3: Cross multiply
    24,101.49x = 36,153.78 × 7,460.13
  4. Step 4: Simplify right side
    24,101.49x = 269,711,898.79
  5. Step 5: Solve for x
    x = 269,711,898.79/24,101.49
  6. Step 6: Final answer
    x = 11,190.67

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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.