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Finding the Fourth Proportional to 13,995.94, 19,314.64 and 7,708.30

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Solution

The fourth proportional to 13,995.94, 19,314.64 and 7,708.30 is: 10,637.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,995.94 : 19,314.64 = 7,708.30 : x
  2. Step 2: Convert to fraction form
    13,995.94/19,314.64 = 7,708.30/x
  3. Step 3: Cross multiply
    13,995.94x = 19,314.64 × 7,708.30
  4. Step 4: Simplify right side
    13,995.94x = 148,883,039.51
  5. Step 5: Solve for x
    x = 148,883,039.51/13,995.94
  6. Step 6: Final answer
    x = 10,637.59

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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.