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Finding the Fourth Proportional to 12,858.14, 17,742.71 and 7,193.21

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Solution

The fourth proportional to 12,858.14, 17,742.71 and 7,193.21 is: 9,925.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,858.14 : 17,742.71 = 7,193.21 : x
  2. Step 2: Convert to fraction form
    12,858.14/17,742.71 = 7,193.21/x
  3. Step 3: Cross multiply
    12,858.14x = 17,742.71 × 7,193.21
  4. Step 4: Simplify right side
    12,858.14x = 127,626,968.27
  5. Step 5: Solve for x
    x = 127,626,968.27/12,858.14
  6. Step 6: Final answer
    x = 9,925.77

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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.