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Finding the Fourth Proportional to 13,009.40, 19,514.02 and 4,244.32

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Solution

The fourth proportional to 13,009.40, 19,514.02 and 4,244.32 is: 6,366.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.40 : 19,514.02 = 4,244.32 : x
  2. Step 2: Convert to fraction form
    13,009.40/19,514.02 = 4,244.32/x
  3. Step 3: Cross multiply
    13,009.40x = 19,514.02 × 4,244.32
  4. Step 4: Simplify right side
    13,009.40x = 82,823,745.37
  5. Step 5: Solve for x
    x = 82,823,745.37/13,009.40
  6. Step 6: Final answer
    x = 6,366.45

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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.