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Finding the Fourth Proportional to 13,019.79, 17,966.23 and 7,641.65

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Solution

The fourth proportional to 13,019.79, 17,966.23 and 7,641.65 is: 10,544.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.79 : 17,966.23 = 7,641.65 : x
  2. Step 2: Convert to fraction form
    13,019.79/17,966.23 = 7,641.65/x
  3. Step 3: Cross multiply
    13,019.79x = 17,966.23 × 7,641.65
  4. Step 4: Simplify right side
    13,019.79x = 137,291,532.54
  5. Step 5: Solve for x
    x = 137,291,532.54/13,019.79
  6. Step 6: Final answer
    x = 10,544.84

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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.