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Finding the Fourth Proportional to 13,259.14, 18,297.75 and 7,290.93

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Solution

The fourth proportional to 13,259.14, 18,297.75 and 7,290.93 is: 10,061.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,259.14 : 18,297.75 = 7,290.93 : x
  2. Step 2: Convert to fraction form
    13,259.14/18,297.75 = 7,290.93/x
  3. Step 3: Cross multiply
    13,259.14x = 18,297.75 × 7,290.93
  4. Step 4: Simplify right side
    13,259.14x = 133,407,614.41
  5. Step 5: Solve for x
    x = 133,407,614.41/13,259.14
  6. Step 6: Final answer
    x = 10,061.56

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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.