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Finding the Fourth Proportional to 24,470.76, 33,769.64 and 13,292.76

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Solution

The fourth proportional to 24,470.76, 33,769.64 and 13,292.76 is: 18,344.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,470.76 : 33,769.64 = 13,292.76 : x
  2. Step 2: Convert to fraction form
    24,470.76/33,769.64 = 13,292.76/x
  3. Step 3: Cross multiply
    24,470.76x = 33,769.64 × 13,292.76
  4. Step 4: Simplify right side
    24,470.76x = 448,891,719.81
  5. Step 5: Solve for x
    x = 448,891,719.81/24,470.76
  6. Step 6: Final answer
    x = 18,344.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.