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Finding the Fourth Proportional to 13,997.81, 19,317.03 and 7,710.17

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Solution

The fourth proportional to 13,997.81, 19,317.03 and 7,710.17 is: 10,640.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997.81 : 19,317.03 = 7,710.17 : x
  2. Step 2: Convert to fraction form
    13,997.81/19,317.03 = 7,710.17/x
  3. Step 3: Cross multiply
    13,997.81x = 19,317.03 × 7,710.17
  4. Step 4: Simplify right side
    13,997.81x = 148,937,585.20
  5. Step 5: Solve for x
    x = 148,937,585.20/13,997.81
  6. Step 6: Final answer
    x = 10,640.06

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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.