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Finding the Fourth Proportional to 12,902.99, 19,363.13 and 5,509.18

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Solution

The fourth proportional to 12,902.99, 19,363.13 and 5,509.18 is: 8,267.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.99 : 19,363.13 = 5,509.18 : x
  2. Step 2: Convert to fraction form
    12,902.99/19,363.13 = 5,509.18/x
  3. Step 3: Cross multiply
    12,902.99x = 19,363.13 × 5,509.18
  4. Step 4: Simplify right side
    12,902.99x = 106,674,844.17
  5. Step 5: Solve for x
    x = 106,674,844.17/12,902.99
  6. Step 6: Final answer
    x = 8,267.45

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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.