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Finding the Fourth Proportional to 13,416.16, 18,515.13 and 7,447.92

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Solution

The fourth proportional to 13,416.16, 18,515.13 and 7,447.92 is: 10,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.16 : 18,515.13 = 7,447.92 : x
  2. Step 2: Convert to fraction form
    13,416.16/18,515.13 = 7,447.92/x
  3. Step 3: Cross multiply
    13,416.16x = 18,515.13 × 7,447.92
  4. Step 4: Simplify right side
    13,416.16x = 137,899,307.78
  5. Step 5: Solve for x
    x = 137,899,307.78/13,416.16
  6. Step 6: Final answer
    x = 10,278.60

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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.