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Finding the Fourth Proportional to 13,832.97, 19,089.47 and 7,545.35

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Solution

The fourth proportional to 13,832.97, 19,089.47 and 7,545.35 is: 10,412.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.97 : 19,089.47 = 7,545.35 : x
  2. Step 2: Convert to fraction form
    13,832.97/19,089.47 = 7,545.35/x
  3. Step 3: Cross multiply
    13,832.97x = 19,089.47 × 7,545.35
  4. Step 4: Simplify right side
    13,832.97x = 144,036,599.29
  5. Step 5: Solve for x
    x = 144,036,599.29/13,832.97
  6. Step 6: Final answer
    x = 10,412.56

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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.