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Finding the Fourth Proportional to 16,014.24, 22,094.64 and 10,352.10

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Solution

The fourth proportional to 16,014.24, 22,094.64 and 10,352.10 is: 14,282.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,014.24 : 22,094.64 = 10,352.10 : x
  2. Step 2: Convert to fraction form
    16,014.24/22,094.64 = 10,352.10/x
  3. Step 3: Cross multiply
    16,014.24x = 22,094.64 × 10,352.10
  4. Step 4: Simplify right side
    16,014.24x = 228,725,922.74
  5. Step 5: Solve for x
    x = 228,725,922.74/16,014.24
  6. Step 6: Final answer
    x = 14,282.66

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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.