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Finding the Fourth Proportional to 24,076.89, 36,122.63 and 10,043.64

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Solution

The fourth proportional to 24,076.89, 36,122.63 and 10,043.64 is: 15,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,076.89 : 36,122.63 = 10,043.64 : x
  2. Step 2: Convert to fraction form
    24,076.89/36,122.63 = 10,043.64/x
  3. Step 3: Cross multiply
    24,076.89x = 36,122.63 × 10,043.64
  4. Step 4: Simplify right side
    24,076.89x = 362,802,641.36
  5. Step 5: Solve for x
    x = 362,802,641.36/24,076.89
  6. Step 6: Final answer
    x = 15,068.50

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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.