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Finding the Fourth Proportional to 13,997.64, 19,316.75 and 7,710.02

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Solution

The fourth proportional to 13,997.64, 19,316.75 and 7,710.02 is: 10,639.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997.64 : 19,316.75 = 7,710.02 : x
  2. Step 2: Convert to fraction form
    13,997.64/19,316.75 = 7,710.02/x
  3. Step 3: Cross multiply
    13,997.64x = 19,316.75 × 7,710.02
  4. Step 4: Simplify right side
    13,997.64x = 148,932,528.84
  5. Step 5: Solve for x
    x = 148,932,528.84/13,997.64
  6. Step 6: Final answer
    x = 10,639.83

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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.