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Finding the Fourth Proportional to 23,829.84, 35,748.54 and 8,248.68

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Solution

The fourth proportional to 23,829.84, 35,748.54 and 8,248.68 is: 12,374.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,829.84 : 35,748.54 = 8,248.68 : x
  2. Step 2: Convert to fraction form
    23,829.84/35,748.54 = 8,248.68/x
  3. Step 3: Cross multiply
    23,829.84x = 35,748.54 × 8,248.68
  4. Step 4: Simplify right side
    23,829.84x = 294,878,266.93
  5. Step 5: Solve for x
    x = 294,878,266.93/23,829.84
  6. Step 6: Final answer
    x = 12,374.33

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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.