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Finding the Fourth Proportional to 13,282.74, 19,897.17 and 6,156.96

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Solution

The fourth proportional to 13,282.74, 19,897.17 and 6,156.96 is: 9,222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,282.74 : 19,897.17 = 6,156.96 : x
  2. Step 2: Convert to fraction form
    13,282.74/19,897.17 = 6,156.96/x
  3. Step 3: Cross multiply
    13,282.74x = 19,897.17 × 6,156.96
  4. Step 4: Simplify right side
    13,282.74x = 122,506,099.34
  5. Step 5: Solve for x
    x = 122,506,099.34/13,282.74
  6. Step 6: Final answer
    x = 9,222.96

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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.