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Finding the Fourth Proportional to 24,843.24, 37,271.34 and 7,312.50

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Solution

The fourth proportional to 24,843.24, 37,271.34 and 7,312.50 is: 10,970.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,843.24 : 37,271.34 = 7,312.50 : x
  2. Step 2: Convert to fraction form
    24,843.24/37,271.34 = 7,312.50/x
  3. Step 3: Cross multiply
    24,843.24x = 37,271.34 × 7,312.50
  4. Step 4: Simplify right side
    24,843.24x = 272,546,673.75
  5. Step 5: Solve for x
    x = 272,546,673.75/24,843.24
  6. Step 6: Final answer
    x = 10,970.66

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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.