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Finding the Fourth Proportional to 12,053.70, 16,633.62 and 7,018.11

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Solution

The fourth proportional to 12,053.70, 16,633.62 and 7,018.11 is: 9,684.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,053.70 : 16,633.62 = 7,018.11 : x
  2. Step 2: Convert to fraction form
    12,053.70/16,633.62 = 7,018.11/x
  3. Step 3: Cross multiply
    12,053.70x = 16,633.62 × 7,018.11
  4. Step 4: Simplify right side
    12,053.70x = 116,736,574.86
  5. Step 5: Solve for x
    x = 116,736,574.86/12,053.70
  6. Step 6: Final answer
    x = 9,684.71

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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.