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Finding the Fourth Proportional to 27,258.94, 40,894.17 and 8,789.50

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Solution

The fourth proportional to 27,258.94, 40,894.17 and 8,789.50 is: 13,186.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,258.94 : 40,894.17 = 8,789.50 : x
  2. Step 2: Convert to fraction form
    27,258.94/40,894.17 = 8,789.50/x
  3. Step 3: Cross multiply
    27,258.94x = 40,894.17 × 8,789.50
  4. Step 4: Simplify right side
    27,258.94x = 359,439,307.22
  5. Step 5: Solve for x
    x = 359,439,307.22/27,258.94
  6. Step 6: Final answer
    x = 13,186.11

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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.