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Finding the Fourth Proportional to 13,009.40, 19,497.08 and 5,223.68

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Solution

The fourth proportional to 13,009.40, 19,497.08 and 5,223.68 is: 7,828.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.40 : 19,497.08 = 5,223.68 : x
  2. Step 2: Convert to fraction form
    13,009.40/19,497.08 = 5,223.68/x
  3. Step 3: Cross multiply
    13,009.40x = 19,497.08 × 5,223.68
  4. Step 4: Simplify right side
    13,009.40x = 101,846,506.85
  5. Step 5: Solve for x
    x = 101,846,506.85/13,009.40
  6. Step 6: Final answer
    x = 7,828.69

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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.