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Finding the Fourth Proportional to 24,693.84, 34,076.64 and 14,086.92

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Solution

The fourth proportional to 24,693.84, 34,076.64 and 14,086.92 is: 19,439.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,693.84 : 34,076.64 = 14,086.92 : x
  2. Step 2: Convert to fraction form
    24,693.84/34,076.64 = 14,086.92/x
  3. Step 3: Cross multiply
    24,693.84x = 34,076.64 × 14,086.92
  4. Step 4: Simplify right side
    24,693.84x = 480,034,901.55
  5. Step 5: Solve for x
    x = 480,034,901.55/24,693.84
  6. Step 6: Final answer
    x = 19,439.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.