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Finding the Fourth Proportional to 13,070.34, 19,592.06 and 5,169.65

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Solution

The fourth proportional to 13,070.34, 19,592.06 and 5,169.65 is: 7,749.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,070.34 : 19,592.06 = 5,169.65 : x
  2. Step 2: Convert to fraction form
    13,070.34/19,592.06 = 5,169.65/x
  3. Step 3: Cross multiply
    13,070.34x = 19,592.06 × 5,169.65
  4. Step 4: Simplify right side
    13,070.34x = 101,283,969.17
  5. Step 5: Solve for x
    x = 101,283,969.17/13,070.34
  6. Step 6: Final answer
    x = 7,749.15

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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.