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Finding the Fourth Proportional to 13,089.72, 19,642.90 and 4,768.92

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Solution

The fourth proportional to 13,089.72, 19,642.90 and 4,768.92 is: 7,156.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,089.72 : 19,642.90 = 4,768.92 : x
  2. Step 2: Convert to fraction form
    13,089.72/19,642.90 = 4,768.92/x
  3. Step 3: Cross multiply
    13,089.72x = 19,642.90 × 4,768.92
  4. Step 4: Simplify right side
    13,089.72x = 93,675,418.67
  5. Step 5: Solve for x
    x = 93,675,418.67/13,089.72
  6. Step 6: Final answer
    x = 7,156.41

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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.