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Finding the Fourth Proportional to 16,342.94, 24,515.22 and 9,811.10

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Solution

The fourth proportional to 16,342.94, 24,515.22 and 9,811.10 is: 14,717.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,342.94 : 24,515.22 = 9,811.10 : x
  2. Step 2: Convert to fraction form
    16,342.94/24,515.22 = 9,811.10/x
  3. Step 3: Cross multiply
    16,342.94x = 24,515.22 × 9,811.10
  4. Step 4: Simplify right side
    16,342.94x = 240,521,274.94
  5. Step 5: Solve for x
    x = 240,521,274.94/16,342.94
  6. Step 6: Final answer
    x = 14,717.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.