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Finding the Fourth Proportional to 13,983.84, 19,297.38 and 7,610.46

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Solution

The fourth proportional to 13,983.84, 19,297.38 and 7,610.46 is: 10,502.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,983.84 : 19,297.38 = 7,610.46 : x
  2. Step 2: Convert to fraction form
    13,983.84/19,297.38 = 7,610.46/x
  3. Step 3: Cross multiply
    13,983.84x = 19,297.38 × 7,610.46
  4. Step 4: Simplify right side
    13,983.84x = 146,861,894.77
  5. Step 5: Solve for x
    x = 146,861,894.77/13,983.84
  6. Step 6: Final answer
    x = 10,502.26

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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.