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Finding the Fourth Proportional to 12,158.51, 16,782.39 and 7,123.82

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Solution

The fourth proportional to 12,158.51, 16,782.39 and 7,123.82 is: 9,833.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,158.51 : 16,782.39 = 7,123.82 : x
  2. Step 2: Convert to fraction form
    12,158.51/16,782.39 = 7,123.82/x
  3. Step 3: Cross multiply
    12,158.51x = 16,782.39 × 7,123.82
  4. Step 4: Simplify right side
    12,158.51x = 119,554,641.62
  5. Step 5: Solve for x
    x = 119,554,641.62/12,158.51
  6. Step 6: Final answer
    x = 9,833.01

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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.