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Finding the Fourth Proportional to 13,376.34, 18,459.38 and 7,408.10

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Solution

The fourth proportional to 13,376.34, 18,459.38 and 7,408.10 is: 10,223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,376.34 : 18,459.38 = 7,408.10 : x
  2. Step 2: Convert to fraction form
    13,376.34/18,459.38 = 7,408.10/x
  3. Step 3: Cross multiply
    13,376.34x = 18,459.38 × 7,408.10
  4. Step 4: Simplify right side
    13,376.34x = 136,748,997.65
  5. Step 5: Solve for x
    x = 136,748,997.65/13,376.34
  6. Step 6: Final answer
    x = 10,223.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.