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Finding the Fourth Proportional to 24,954, 37,437.18 and 7,423.77

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Solution

The fourth proportional to 24,954, 37,437.18 and 7,423.77 is: 11,137.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,954 : 37,437.18 = 7,423.77 : x
  2. Step 2: Convert to fraction form
    24,954/37,437.18 = 7,423.77/x
  3. Step 3: Cross multiply
    24,954x = 37,437.18 × 7,423.77
  4. Step 4: Simplify right side
    24,954x = 277,925,013.77
  5. Step 5: Solve for x
    x = 277,925,013.77/24,954
  6. Step 6: Final answer
    x = 11,137.49

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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.