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Finding the Fourth Proportional to 10,261.68, 14,220.62 and 10,064.82

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Solution

The fourth proportional to 10,261.68, 14,220.62 and 10,064.82 is: 13,947.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,261.68 : 14,220.62 = 10,064.82 : x
  2. Step 2: Convert to fraction form
    10,261.68/14,220.62 = 10,064.82/x
  3. Step 3: Cross multiply
    10,261.68x = 14,220.62 × 10,064.82
  4. Step 4: Simplify right side
    10,261.68x = 143,127,930.26
  5. Step 5: Solve for x
    x = 143,127,930.26/10,261.68
  6. Step 6: Final answer
    x = 13,947.81

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.