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Finding the Fourth Proportional to 24,706.82, 34,098.63 and 14,098.52

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Solution

The fourth proportional to 24,706.82, 34,098.63 and 14,098.52 is: 19,457.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,706.82 : 34,098.63 = 14,098.52 : x
  2. Step 2: Convert to fraction form
    24,706.82/34,098.63 = 14,098.52/x
  3. Step 3: Cross multiply
    24,706.82x = 34,098.63 × 14,098.52
  4. Step 4: Simplify right side
    24,706.82x = 480,740,217.03
  5. Step 5: Solve for x
    x = 480,740,217.03/24,706.82
  6. Step 6: Final answer
    x = 19,457.79

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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.