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Finding the Fourth Proportional to 12,802.95, 19,206.99 and 5,407.38

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Solution

The fourth proportional to 12,802.95, 19,206.99 and 5,407.38 is: 8,112.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.95 : 19,206.99 = 5,407.38 : x
  2. Step 2: Convert to fraction form
    12,802.95/19,206.99 = 5,407.38/x
  3. Step 3: Cross multiply
    12,802.95x = 19,206.99 × 5,407.38
  4. Step 4: Simplify right side
    12,802.95x = 103,859,493.59
  5. Step 5: Solve for x
    x = 103,859,493.59/12,802.95
  6. Step 6: Final answer
    x = 8,112.15

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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.