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Finding the Fourth Proportional to 13,264.94, 18,305.16 and 7,296.06

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Solution

The fourth proportional to 13,264.94, 18,305.16 and 7,296.06 is: 10,068.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,264.94 : 18,305.16 = 7,296.06 : x
  2. Step 2: Convert to fraction form
    13,264.94/18,305.16 = 7,296.06/x
  3. Step 3: Cross multiply
    13,264.94x = 18,305.16 × 7,296.06
  4. Step 4: Simplify right side
    13,264.94x = 133,555,545.67
  5. Step 5: Solve for x
    x = 133,555,545.67/13,264.94
  6. Step 6: Final answer
    x = 10,068.31

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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.