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Finding the Fourth Proportional to 13,832.88, 19,089.37 and 7,545.25

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Solution

The fourth proportional to 13,832.88, 19,089.37 and 7,545.25 is: 10,412.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.88 : 19,089.37 = 7,545.25 : x
  2. Step 2: Convert to fraction form
    13,832.88/19,089.37 = 7,545.25/x
  3. Step 3: Cross multiply
    13,832.88x = 19,089.37 × 7,545.25
  4. Step 4: Simplify right side
    13,832.88x = 144,034,068.99
  5. Step 5: Solve for x
    x = 144,034,068.99/13,832.88
  6. Step 6: Final answer
    x = 10,412.44

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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.