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Finding the Fourth Proportional to 13,374.67, 18,459.33 and 7,708.40

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Solution

The fourth proportional to 13,374.67, 18,459.33 and 7,708.40 is: 10,638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,374.67 : 18,459.33 = 7,708.40 : x
  2. Step 2: Convert to fraction form
    13,374.67/18,459.33 = 7,708.40/x
  3. Step 3: Cross multiply
    13,374.67x = 18,459.33 × 7,708.40
  4. Step 4: Simplify right side
    13,374.67x = 142,291,899.37
  5. Step 5: Solve for x
    x = 142,291,899.37/13,374.67
  6. Step 6: Final answer
    x = 10,638.91

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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.