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Finding the Fourth Proportional to 12,258.23, 18,383.57 and 6,411.65

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Solution

The fourth proportional to 12,258.23, 18,383.57 and 6,411.65 is: 9,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,258.23 : 18,383.57 = 6,411.65 : x
  2. Step 2: Convert to fraction form
    12,258.23/18,383.57 = 6,411.65/x
  3. Step 3: Cross multiply
    12,258.23x = 18,383.57 × 6,411.65
  4. Step 4: Simplify right side
    12,258.23x = 117,868,984.53
  5. Step 5: Solve for x
    x = 117,868,984.53/12,258.23
  6. Step 6: Final answer
    x = 9,615.50

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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.