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Finding the Fourth Proportional to 15,131.16, 20,880.63 and 8,416.80

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Solution

The fourth proportional to 15,131.16, 20,880.63 and 8,416.80 is: 11,614.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,131.16 : 20,880.63 = 8,416.80 : x
  2. Step 2: Convert to fraction form
    15,131.16/20,880.63 = 8,416.80/x
  3. Step 3: Cross multiply
    15,131.16x = 20,880.63 × 8,416.80
  4. Step 4: Simplify right side
    15,131.16x = 175,748,086.58
  5. Step 5: Solve for x
    x = 175,748,086.58/15,131.16
  6. Step 6: Final answer
    x = 11,614.98

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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.