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Finding the Fourth Proportional to 15,788.50, 23,676.12 and 7,017.46

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Solution

The fourth proportional to 15,788.50, 23,676.12 and 7,017.46 is: 10,523.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,788.50 : 23,676.12 = 7,017.46 : x
  2. Step 2: Convert to fraction form
    15,788.50/23,676.12 = 7,017.46/x
  3. Step 3: Cross multiply
    15,788.50x = 23,676.12 × 7,017.46
  4. Step 4: Simplify right side
    15,788.50x = 166,146,225.06
  5. Step 5: Solve for x
    x = 166,146,225.06/15,788.50
  6. Step 6: Final answer
    x = 10,523.24

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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.