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Finding the Fourth Proportional to 13,789.64, 19,029.70 and 7,502

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Solution

The fourth proportional to 13,789.64, 19,029.70 and 7,502 is: 10,352.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,789.64 : 19,029.70 = 7,502 : x
  2. Step 2: Convert to fraction form
    13,789.64/19,029.70 = 7,502/x
  3. Step 3: Cross multiply
    13,789.64x = 19,029.70 × 7,502
  4. Step 4: Simplify right side
    13,789.64x = 142,760,809.40
  5. Step 5: Solve for x
    x = 142,760,809.40/13,789.64
  6. Step 6: Final answer
    x = 10,352.76

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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.