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Finding the Fourth Proportional to 13,114, 19,669.02 and 4,347.82

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Solution

The fourth proportional to 13,114, 19,669.02 and 4,347.82 is: 6,521.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114 : 19,669.02 = 4,347.82 : x
  2. Step 2: Convert to fraction form
    13,114/19,669.02 = 4,347.82/x
  3. Step 3: Cross multiply
    13,114x = 19,669.02 × 4,347.82
  4. Step 4: Simplify right side
    13,114x = 85,517,358.54
  5. Step 5: Solve for x
    x = 85,517,358.54/13,114
  6. Step 6: Final answer
    x = 6,521.07

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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.