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Finding the Fourth Proportional to 24,646.16, 36,970.86 and 8,849.54

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Solution

The fourth proportional to 24,646.16, 36,970.86 and 8,849.54 is: 13,274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,646.16 : 36,970.86 = 8,849.54 : x
  2. Step 2: Convert to fraction form
    24,646.16/36,970.86 = 8,849.54/x
  3. Step 3: Cross multiply
    24,646.16x = 36,970.86 × 8,849.54
  4. Step 4: Simplify right side
    24,646.16x = 327,175,104.40
  5. Step 5: Solve for x
    x = 327,175,104.40/24,646.16
  6. Step 6: Final answer
    x = 13,274.89

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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.