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Finding the Fourth Proportional to 24,019.40, 36,029.10 and 9,427.40

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Solution

The fourth proportional to 24,019.40, 36,029.10 and 9,427.40 is: 14,141.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,019.40 : 36,029.10 = 9,427.40 : x
  2. Step 2: Convert to fraction form
    24,019.40/36,029.10 = 9,427.40/x
  3. Step 3: Cross multiply
    24,019.40x = 36,029.10 × 9,427.40
  4. Step 4: Simplify right side
    24,019.40x = 339,660,737.34
  5. Step 5: Solve for x
    x = 339,660,737.34/24,019.40
  6. Step 6: Final answer
    x = 14,141.10

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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.