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Finding the Fourth Proportional to 13,314.48, 18,374.84 and 7,346.16

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Solution

The fourth proportional to 13,314.48, 18,374.84 and 7,346.16 is: 10,138.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,314.48 : 18,374.84 = 7,346.16 : x
  2. Step 2: Convert to fraction form
    13,314.48/18,374.84 = 7,346.16/x
  3. Step 3: Cross multiply
    13,314.48x = 18,374.84 × 7,346.16
  4. Step 4: Simplify right side
    13,314.48x = 134,984,514.61
  5. Step 5: Solve for x
    x = 134,984,514.61/13,314.48
  6. Step 6: Final answer
    x = 10,138.17

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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.