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Finding the Fourth Proportional to 12,053.24, 16,633.85 and 7,019.22

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Solution

The fourth proportional to 12,053.24, 16,633.85 and 7,019.22 is: 9,686.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,053.24 : 16,633.85 = 7,019.22 : x
  2. Step 2: Convert to fraction form
    12,053.24/16,633.85 = 7,019.22/x
  3. Step 3: Cross multiply
    12,053.24x = 16,633.85 × 7,019.22
  4. Step 4: Simplify right side
    12,053.24x = 116,756,652.60
  5. Step 5: Solve for x
    x = 116,756,652.60/12,053.24
  6. Step 6: Final answer
    x = 9,686.74

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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.