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Finding the Fourth Proportional to 13,265.51, 18,306 and 7,297.16

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Solution

The fourth proportional to 13,265.51, 18,306 and 7,297.16 is: 10,069.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,265.51 : 18,306 = 7,297.16 : x
  2. Step 2: Convert to fraction form
    13,265.51/18,306 = 7,297.16/x
  3. Step 3: Cross multiply
    13,265.51x = 18,306 × 7,297.16
  4. Step 4: Simplify right side
    13,265.51x = 133,581,873.89
  5. Step 5: Solve for x
    x = 133,581,873.89/13,265.51
  6. Step 6: Final answer
    x = 10,069.86

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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.