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Finding the Fourth Proportional to 12,989.76, 19,472.91 and 4,667.82

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Solution

The fourth proportional to 12,989.76, 19,472.91 and 4,667.82 is: 6,997.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,989.76 : 19,472.91 = 4,667.82 : x
  2. Step 2: Convert to fraction form
    12,989.76/19,472.91 = 4,667.82/x
  3. Step 3: Cross multiply
    12,989.76x = 19,472.91 × 4,667.82
  4. Step 4: Simplify right side
    12,989.76x = 90,896,038.76
  5. Step 5: Solve for x
    x = 90,896,038.76/12,989.76
  6. Step 6: Final answer
    x = 6,997.51

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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.