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Finding the Fourth Proportional to 23,785, 32,823.30 and 13,849

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Solution

The fourth proportional to 23,785, 32,823.30 and 13,849 is: 19,111.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,785 : 32,823.30 = 13,849 : x
  2. Step 2: Convert to fraction form
    23,785/32,823.30 = 13,849/x
  3. Step 3: Cross multiply
    23,785x = 32,823.30 × 13,849
  4. Step 4: Simplify right side
    23,785x = 454,569,881.70
  5. Step 5: Solve for x
    x = 454,569,881.70/23,785
  6. Step 6: Final answer
    x = 19,111.62

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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.