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Finding the Fourth Proportional to 13,763.12, 20,642.76 and 4,526

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Solution

The fourth proportional to 13,763.12, 20,642.76 and 4,526 is: 6,788.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,763.12 : 20,642.76 = 4,526 : x
  2. Step 2: Convert to fraction form
    13,763.12/20,642.76 = 4,526/x
  3. Step 3: Cross multiply
    13,763.12x = 20,642.76 × 4,526
  4. Step 4: Simplify right side
    13,763.12x = 93,429,131.76
  5. Step 5: Solve for x
    x = 93,429,131.76/13,763.12
  6. Step 6: Final answer
    x = 6,788.37

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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.