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Finding the Fourth Proportional to 13,114.51, 19,659.87 and 6,542.71

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Solution

The fourth proportional to 13,114.51, 19,659.87 and 6,542.71 is: 9,808.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.51 : 19,659.87 = 6,542.71 : x
  2. Step 2: Convert to fraction form
    13,114.51/19,659.87 = 6,542.71/x
  3. Step 3: Cross multiply
    13,114.51x = 19,659.87 × 6,542.71
  4. Step 4: Simplify right side
    13,114.51x = 128,628,828.05
  5. Step 5: Solve for x
    x = 128,628,828.05/13,114.51
  6. Step 6: Final answer
    x = 9,808.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.