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Finding the Fourth Proportional to 13,259.49, 19,865.83 and 7,005.69

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Solution

The fourth proportional to 13,259.49, 19,865.83 and 7,005.69 is: 10,496.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,259.49 : 19,865.83 = 7,005.69 : x
  2. Step 2: Convert to fraction form
    13,259.49/19,865.83 = 7,005.69/x
  3. Step 3: Cross multiply
    13,259.49x = 19,865.83 × 7,005.69
  4. Step 4: Simplify right side
    13,259.49x = 139,173,846.57
  5. Step 5: Solve for x
    x = 139,173,846.57/13,259.49
  6. Step 6: Final answer
    x = 10,496.17

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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.