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Finding the Fourth Proportional to 42,817.01, 64,231.64 and 13,237.14

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Solution

The fourth proportional to 42,817.01, 64,231.64 and 13,237.14 is: 19,857.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,817.01 : 64,231.64 = 13,237.14 : x
  2. Step 2: Convert to fraction form
    42,817.01/64,231.64 = 13,237.14/x
  3. Step 3: Cross multiply
    42,817.01x = 64,231.64 × 13,237.14
  4. Step 4: Simplify right side
    42,817.01x = 850,242,923.04
  5. Step 5: Solve for x
    x = 850,242,923.04/42,817.01
  6. Step 6: Final answer
    x = 19,857.60

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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.