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Finding the Fourth Proportional to 24,329, 36,507.54 and 10,288.10

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Solution

The fourth proportional to 24,329, 36,507.54 and 10,288.10 is: 15,438.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,329 : 36,507.54 = 10,288.10 : x
  2. Step 2: Convert to fraction form
    24,329/36,507.54 = 10,288.10/x
  3. Step 3: Cross multiply
    24,329x = 36,507.54 × 10,288.10
  4. Step 4: Simplify right side
    24,329x = 375,593,222.27
  5. Step 5: Solve for x
    x = 375,593,222.27/24,329
  6. Step 6: Final answer
    x = 15,438.09

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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.