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Finding the Fourth Proportional to 12,763.50, 19,123.92 and 9,047.76

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Solution

The fourth proportional to 12,763.50, 19,123.92 and 9,047.76 is: 13,556.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,763.50 : 19,123.92 = 9,047.76 : x
  2. Step 2: Convert to fraction form
    12,763.50/19,123.92 = 9,047.76/x
  3. Step 3: Cross multiply
    12,763.50x = 19,123.92 × 9,047.76
  4. Step 4: Simplify right side
    12,763.50x = 173,028,638.42
  5. Step 5: Solve for x
    x = 173,028,638.42/12,763.50
  6. Step 6: Final answer
    x = 13,556.52

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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.