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Finding the Fourth Proportional to 24,598, 36,900.60 and 7,952.50

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Solution

The fourth proportional to 24,598, 36,900.60 and 7,952.50 is: 11,929.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,598 : 36,900.60 = 7,952.50 : x
  2. Step 2: Convert to fraction form
    24,598/36,900.60 = 7,952.50/x
  3. Step 3: Cross multiply
    24,598x = 36,900.60 × 7,952.50
  4. Step 4: Simplify right side
    24,598x = 293,452,021.50
  5. Step 5: Solve for x
    x = 293,452,021.50/24,598
  6. Step 6: Final answer
    x = 11,929.91

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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.