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Finding the Fourth Proportional to 24,738.60, 34,138.62 and 13,407.60

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Solution

The fourth proportional to 24,738.60, 34,138.62 and 13,407.60 is: 18,502.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,738.60 : 34,138.62 = 13,407.60 : x
  2. Step 2: Convert to fraction form
    24,738.60/34,138.62 = 13,407.60/x
  3. Step 3: Cross multiply
    24,738.60x = 34,138.62 × 13,407.60
  4. Step 4: Simplify right side
    24,738.60x = 457,716,961.51
  5. Step 5: Solve for x
    x = 457,716,961.51/24,738.60
  6. Step 6: Final answer
    x = 18,502.14

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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.