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Finding the Fourth Proportional to 24,563.64, 36,852.76 and 11,423.82

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Solution

The fourth proportional to 24,563.64, 36,852.76 and 11,423.82 is: 17,139.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,563.64 : 36,852.76 = 11,423.82 : x
  2. Step 2: Convert to fraction form
    24,563.64/36,852.76 = 11,423.82/x
  3. Step 3: Cross multiply
    24,563.64x = 36,852.76 × 11,423.82
  4. Step 4: Simplify right side
    24,563.64x = 420,999,296.74
  5. Step 5: Solve for x
    x = 420,999,296.74/24,563.64
  6. Step 6: Final answer
    x = 17,139.13

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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.