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Finding the Fourth Proportional to 24,153.50, 36,244.84 and 10,302.50

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Solution

The fourth proportional to 24,153.50, 36,244.84 and 10,302.50 is: 15,459.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,153.50 : 36,244.84 = 10,302.50 : x
  2. Step 2: Convert to fraction form
    24,153.50/36,244.84 = 10,302.50/x
  3. Step 3: Cross multiply
    24,153.50x = 36,244.84 × 10,302.50
  4. Step 4: Simplify right side
    24,153.50x = 373,412,464.10
  5. Step 5: Solve for x
    x = 373,412,464.10/24,153.50
  6. Step 6: Final answer
    x = 15,459.97

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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.