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Finding the Fourth Proportional to 13,129.68, 19,697.45 and 4,809.52

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Solution

The fourth proportional to 13,129.68, 19,697.45 and 4,809.52 is: 7,215.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.68 : 19,697.45 = 4,809.52 : x
  2. Step 2: Convert to fraction form
    13,129.68/19,697.45 = 4,809.52/x
  3. Step 3: Cross multiply
    13,129.68x = 19,697.45 × 4,809.52
  4. Step 4: Simplify right side
    13,129.68x = 94,735,279.72
  5. Step 5: Solve for x
    x = 94,735,279.72/13,129.68
  6. Step 6: Final answer
    x = 7,215.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.