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Finding the Fourth Proportional to 24,277.36, 36,409.44 and 10,423.12

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Solution

The fourth proportional to 24,277.36, 36,409.44 and 10,423.12 is: 15,631.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,277.36 : 36,409.44 = 10,423.12 : x
  2. Step 2: Convert to fraction form
    24,277.36/36,409.44 = 10,423.12/x
  3. Step 3: Cross multiply
    24,277.36x = 36,409.44 × 10,423.12
  4. Step 4: Simplify right side
    24,277.36x = 379,499,962.25
  5. Step 5: Solve for x
    x = 379,499,962.25/24,277.36
  6. Step 6: Final answer
    x = 15,631.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.