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Finding the Fourth Proportional to 13,789.32, 19,029.17 and 7,501.70

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Solution

The fourth proportional to 13,789.32, 19,029.17 and 7,501.70 is: 10,352.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,789.32 : 19,029.17 = 7,501.70 : x
  2. Step 2: Convert to fraction form
    13,789.32/19,029.17 = 7,501.70/x
  3. Step 3: Cross multiply
    13,789.32x = 19,029.17 × 7,501.70
  4. Step 4: Simplify right side
    13,789.32x = 142,750,991.93
  5. Step 5: Solve for x
    x = 142,750,991.93/13,789.32
  6. Step 6: Final answer
    x = 10,352.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.