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Finding the Fourth Proportional to 13,545.19, 20,325.86 and 6,048.17

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Solution

The fourth proportional to 13,545.19, 20,325.86 and 6,048.17 is: 9,075.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,545.19 : 20,325.86 = 6,048.17 : x
  2. Step 2: Convert to fraction form
    13,545.19/20,325.86 = 6,048.17/x
  3. Step 3: Cross multiply
    13,545.19x = 20,325.86 × 6,048.17
  4. Step 4: Simplify right side
    13,545.19x = 122,934,124.81
  5. Step 5: Solve for x
    x = 122,934,124.81/13,545.19
  6. Step 6: Final answer
    x = 9,075.85

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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.