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Finding the Fourth Proportional to 24,137.80, 36,206.70 and 10,095.40

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Solution

The fourth proportional to 24,137.80, 36,206.70 and 10,095.40 is: 15,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,137.80 : 36,206.70 = 10,095.40 : x
  2. Step 2: Convert to fraction form
    24,137.80/36,206.70 = 10,095.40/x
  3. Step 3: Cross multiply
    24,137.80x = 36,206.70 × 10,095.40
  4. Step 4: Simplify right side
    24,137.80x = 365,521,119.18
  5. Step 5: Solve for x
    x = 365,521,119.18/24,137.80
  6. Step 6: Final answer
    x = 15,143.10

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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.