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Finding the Fourth Proportional to 13,081.84, 18,053 and 7,113.52

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Solution

The fourth proportional to 13,081.84, 18,053 and 7,113.52 is: 9,816.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,081.84 : 18,053 = 7,113.52 : x
  2. Step 2: Convert to fraction form
    13,081.84/18,053 = 7,113.52/x
  3. Step 3: Cross multiply
    13,081.84x = 18,053 × 7,113.52
  4. Step 4: Simplify right side
    13,081.84x = 128,420,376.56
  5. Step 5: Solve for x
    x = 128,420,376.56/13,081.84
  6. Step 6: Final answer
    x = 9,816.69

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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.