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Finding the Fourth Proportional to 13,206.29, 18,224.64 and 7,901.10

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Solution

The fourth proportional to 13,206.29, 18,224.64 and 7,901.10 is: 10,903.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.29 : 18,224.64 = 7,901.10 : x
  2. Step 2: Convert to fraction form
    13,206.29/18,224.64 = 7,901.10/x
  3. Step 3: Cross multiply
    13,206.29x = 18,224.64 × 7,901.10
  4. Step 4: Simplify right side
    13,206.29x = 143,994,703.10
  5. Step 5: Solve for x
    x = 143,994,703.10/13,206.29
  6. Step 6: Final answer
    x = 10,903.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.