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Finding the Fourth Proportional to 24,724.50, 34,119.81 and 14,788.50

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Solution

The fourth proportional to 24,724.50, 34,119.81 and 14,788.50 is: 20,408.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,724.50 : 34,119.81 = 14,788.50 : x
  2. Step 2: Convert to fraction form
    24,724.50/34,119.81 = 14,788.50/x
  3. Step 3: Cross multiply
    24,724.50x = 34,119.81 × 14,788.50
  4. Step 4: Simplify right side
    24,724.50x = 504,580,810.19
  5. Step 5: Solve for x
    x = 504,580,810.19/24,724.50
  6. Step 6: Final answer
    x = 20,408.13

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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.