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Finding the Fourth Proportional to 24,656.00, 36,988.87 and 8,014.96

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Solution

The fourth proportional to 24,656.00, 36,988.87 and 8,014.96 is: 12,024.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,656.00 : 36,988.87 = 8,014.96 : x
  2. Step 2: Convert to fraction form
    24,656.00/36,988.87 = 8,014.96/x
  3. Step 3: Cross multiply
    24,656.00x = 36,988.87 × 8,014.96
  4. Step 4: Simplify right side
    24,656.00x = 296,464,200.99
  5. Step 5: Solve for x
    x = 296,464,200.99/24,656.00
  6. Step 6: Final answer
    x = 12,024.02

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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.