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Finding the Fourth Proportional to 24,646.84, 36,975.67 and 8,008.63

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Solution

The fourth proportional to 24,646.84, 36,975.67 and 8,008.63 is: 12,014.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,646.84 : 36,975.67 = 8,008.63 : x
  2. Step 2: Convert to fraction form
    24,646.84/36,975.67 = 8,008.63/x
  3. Step 3: Cross multiply
    24,646.84x = 36,975.67 × 8,008.63
  4. Step 4: Simplify right side
    24,646.84x = 296,124,347.57
  5. Step 5: Solve for x
    x = 296,124,347.57/24,646.84
  6. Step 6: Final answer
    x = 12,014.70

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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.