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Finding the Fourth Proportional to 13,416.16, 18,512.33 and 7,447.88

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Solution

The fourth proportional to 13,416.16, 18,512.33 and 7,447.88 is: 10,276.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.16 : 18,512.33 = 7,447.88 : x
  2. Step 2: Convert to fraction form
    13,416.16/18,512.33 = 7,447.88/x
  3. Step 3: Cross multiply
    13,416.16x = 18,512.33 × 7,447.88
  4. Step 4: Simplify right side
    13,416.16x = 137,877,612.36
  5. Step 5: Solve for x
    x = 137,877,612.36/13,416.16
  6. Step 6: Final answer
    x = 10,276.98

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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.