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Finding the Fourth Proportional to 15,258.60, 22,877.10 and 6,942.60

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Solution

The fourth proportional to 15,258.60, 22,877.10 and 6,942.60 is: 10,408.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,258.60 : 22,877.10 = 6,942.60 : x
  2. Step 2: Convert to fraction form
    15,258.60/22,877.10 = 6,942.60/x
  3. Step 3: Cross multiply
    15,258.60x = 22,877.10 × 6,942.60
  4. Step 4: Simplify right side
    15,258.60x = 158,826,554.46
  5. Step 5: Solve for x
    x = 158,826,554.46/15,258.60
  6. Step 6: Final answer
    x = 10,408.99

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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.