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Finding the Fourth Proportional to 12,564.90, 17,340.01 and 8,323.34

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Solution

The fourth proportional to 12,564.90, 17,340.01 and 8,323.34 is: 11,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.90 : 17,340.01 = 8,323.34 : x
  2. Step 2: Convert to fraction form
    12,564.90/17,340.01 = 8,323.34/x
  3. Step 3: Cross multiply
    12,564.90x = 17,340.01 × 8,323.34
  4. Step 4: Simplify right side
    12,564.90x = 144,326,691.33
  5. Step 5: Solve for x
    x = 144,326,691.33/12,564.90
  6. Step 6: Final answer
    x = 11,486.50

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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.