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Finding the Fourth Proportional to 13,832.91, 19,089.37 and 7,545.29

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Solution

The fourth proportional to 13,832.91, 19,089.37 and 7,545.29 is: 10,412.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.91 : 19,089.37 = 7,545.29 : x
  2. Step 2: Convert to fraction form
    13,832.91/19,089.37 = 7,545.29/x
  3. Step 3: Cross multiply
    13,832.91x = 19,089.37 × 7,545.29
  4. Step 4: Simplify right side
    13,832.91x = 144,034,746.55
  5. Step 5: Solve for x
    x = 144,034,746.55/13,832.91
  6. Step 6: Final answer
    x = 10,412.47

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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.