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Finding the Fourth Proportional to 13,376.58, 18,459.18 and 7,407.78

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Solution

The fourth proportional to 13,376.58, 18,459.18 and 7,407.78 is: 10,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,376.58 : 18,459.18 = 7,407.78 : x
  2. Step 2: Convert to fraction form
    13,376.58/18,459.18 = 7,407.78/x
  3. Step 3: Cross multiply
    13,376.58x = 18,459.18 × 7,407.78
  4. Step 4: Simplify right side
    13,376.58x = 136,741,544.42
  5. Step 5: Solve for x
    x = 136,741,544.42/13,376.58
  6. Step 6: Final answer
    x = 10,222.46

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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.