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Finding the Fourth Proportional to 13,314.81, 18,374.29 and 7,346.53

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Solution

The fourth proportional to 13,314.81, 18,374.29 and 7,346.53 is: 10,138.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,314.81 : 18,374.29 = 7,346.53 : x
  2. Step 2: Convert to fraction form
    13,314.81/18,374.29 = 7,346.53/x
  3. Step 3: Cross multiply
    13,314.81x = 18,374.29 × 7,346.53
  4. Step 4: Simplify right side
    13,314.81x = 134,987,272.71
  5. Step 5: Solve for x
    x = 134,987,272.71/13,314.81
  6. Step 6: Final answer
    x = 10,138.13

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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.