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Finding the Fourth Proportional to 12,817.18, 19,219.98 and 5,417.83

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Solution

The fourth proportional to 12,817.18, 19,219.98 and 5,417.83 is: 8,124.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.18 : 19,219.98 = 5,417.83 : x
  2. Step 2: Convert to fraction form
    12,817.18/19,219.98 = 5,417.83/x
  3. Step 3: Cross multiply
    12,817.18x = 19,219.98 × 5,417.83
  4. Step 4: Simplify right side
    12,817.18x = 104,130,488.14
  5. Step 5: Solve for x
    x = 104,130,488.14/12,817.18
  6. Step 6: Final answer
    x = 8,124.29

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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.