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Finding the Fourth Proportional to 24,437.54, 36,638.36 and 7,788

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Solution

The fourth proportional to 24,437.54, 36,638.36 and 7,788 is: 11,676.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,437.54 : 36,638.36 = 7,788 : x
  2. Step 2: Convert to fraction form
    24,437.54/36,638.36 = 7,788/x
  3. Step 3: Cross multiply
    24,437.54x = 36,638.36 × 7,788
  4. Step 4: Simplify right side
    24,437.54x = 285,339,547.68
  5. Step 5: Solve for x
    x = 285,339,547.68/24,437.54
  6. Step 6: Final answer
    x = 11,676.28

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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.