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Finding the Fourth Proportional to 13,023.89, 19,493.21 and 7,085.94

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Solution

The fourth proportional to 13,023.89, 19,493.21 and 7,085.94 is: 10,605.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.89 : 19,493.21 = 7,085.94 : x
  2. Step 2: Convert to fraction form
    13,023.89/19,493.21 = 7,085.94/x
  3. Step 3: Cross multiply
    13,023.89x = 19,493.21 × 7,085.94
  4. Step 4: Simplify right side
    13,023.89x = 138,127,681.04
  5. Step 5: Solve for x
    x = 138,127,681.04/13,023.89
  6. Step 6: Final answer
    x = 10,605.72

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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.