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Finding the Fourth Proportional to 12,686.85, 19,030.40 and 5,667.22

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Solution

The fourth proportional to 12,686.85, 19,030.40 and 5,667.22 is: 8,500.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.85 : 19,030.40 = 5,667.22 : x
  2. Step 2: Convert to fraction form
    12,686.85/19,030.40 = 5,667.22/x
  3. Step 3: Cross multiply
    12,686.85x = 19,030.40 × 5,667.22
  4. Step 4: Simplify right side
    12,686.85x = 107,849,463.49
  5. Step 5: Solve for x
    x = 107,849,463.49/12,686.85
  6. Step 6: Final answer
    x = 8,500.89

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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.