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Finding the Fourth Proportional to 13,291.24, 19,925.53 and 5,891.67

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Solution

The fourth proportional to 13,291.24, 19,925.53 and 5,891.67 is: 8,832.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,291.24 : 19,925.53 = 5,891.67 : x
  2. Step 2: Convert to fraction form
    13,291.24/19,925.53 = 5,891.67/x
  3. Step 3: Cross multiply
    13,291.24x = 19,925.53 × 5,891.67
  4. Step 4: Simplify right side
    13,291.24x = 117,394,647.34
  5. Step 5: Solve for x
    x = 117,394,647.34/13,291.24
  6. Step 6: Final answer
    x = 8,832.48

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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.