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Finding the Fourth Proportional to 13,266.30, 19,892.97 and 7,721.58

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Solution

The fourth proportional to 13,266.30, 19,892.97 and 7,721.58 is: 11,578.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,266.30 : 19,892.97 = 7,721.58 : x
  2. Step 2: Convert to fraction form
    13,266.30/19,892.97 = 7,721.58/x
  3. Step 3: Cross multiply
    13,266.30x = 19,892.97 × 7,721.58
  4. Step 4: Simplify right side
    13,266.30x = 153,605,159.29
  5. Step 5: Solve for x
    x = 153,605,159.29/13,266.30
  6. Step 6: Final answer
    x = 11,578.60

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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.