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Finding the Fourth Proportional to 24,351, 36,527.54 and 9,563.12

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Solution

The fourth proportional to 24,351, 36,527.54 and 9,563.12 is: 14,345.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,351 : 36,527.54 = 9,563.12 : x
  2. Step 2: Convert to fraction form
    24,351/36,527.54 = 9,563.12/x
  3. Step 3: Cross multiply
    24,351x = 36,527.54 × 9,563.12
  4. Step 4: Simplify right side
    24,351x = 349,317,291.83
  5. Step 5: Solve for x
    x = 349,317,291.83/24,351
  6. Step 6: Final answer
    x = 14,345.09

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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.