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Finding the Fourth Proportional to 13,545.75, 18,693.51 and 7,578.45

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Solution

The fourth proportional to 13,545.75, 18,693.51 and 7,578.45 is: 10,458.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,545.75 : 18,693.51 = 7,578.45 : x
  2. Step 2: Convert to fraction form
    13,545.75/18,693.51 = 7,578.45/x
  3. Step 3: Cross multiply
    13,545.75x = 18,693.51 × 7,578.45
  4. Step 4: Simplify right side
    13,545.75x = 141,667,830.86
  5. Step 5: Solve for x
    x = 141,667,830.86/13,545.75
  6. Step 6: Final answer
    x = 10,458.47

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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.