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Finding the Fourth Proportional to 24,015.40, 36,023.10 and 11,541.40

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Solution

The fourth proportional to 24,015.40, 36,023.10 and 11,541.40 is: 17,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,015.40 : 36,023.10 = 11,541.40 : x
  2. Step 2: Convert to fraction form
    24,015.40/36,023.10 = 11,541.40/x
  3. Step 3: Cross multiply
    24,015.40x = 36,023.10 × 11,541.40
  4. Step 4: Simplify right side
    24,015.40x = 415,757,006.34
  5. Step 5: Solve for x
    x = 415,757,006.34/24,015.40
  6. Step 6: Final answer
    x = 17,312.10

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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.