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Finding the Fourth Proportional to 24,409.70, 36,572.74 and 13,324.16

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Solution

The fourth proportional to 24,409.70, 36,572.74 and 13,324.16 is: 19,963.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,409.70 : 36,572.74 = 13,324.16 : x
  2. Step 2: Convert to fraction form
    24,409.70/36,572.74 = 13,324.16/x
  3. Step 3: Cross multiply
    24,409.70x = 36,572.74 × 13,324.16
  4. Step 4: Simplify right side
    24,409.70x = 487,301,039.40
  5. Step 5: Solve for x
    x = 487,301,039.40/24,409.70
  6. Step 6: Final answer
    x = 19,963.42

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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.