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Finding the Fourth Proportional to 13,264.94, 18,305.58 and 7,296.68

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Solution

The fourth proportional to 13,264.94, 18,305.58 and 7,296.68 is: 10,069.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,264.94 : 18,305.58 = 7,296.68 : x
  2. Step 2: Convert to fraction form
    13,264.94/18,305.58 = 7,296.68/x
  3. Step 3: Cross multiply
    13,264.94x = 18,305.58 × 7,296.68
  4. Step 4: Simplify right side
    13,264.94x = 133,569,959.47
  5. Step 5: Solve for x
    x = 133,569,959.47/13,264.94
  6. Step 6: Final answer
    x = 10,069.40

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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.