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Finding the Fourth Proportional to 13,550.93, 18,700.27 and 7,584

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Solution

The fourth proportional to 13,550.93, 18,700.27 and 7,584 is: 10,465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,550.93 : 18,700.27 = 7,584 : x
  2. Step 2: Convert to fraction form
    13,550.93/18,700.27 = 7,584/x
  3. Step 3: Cross multiply
    13,550.93x = 18,700.27 × 7,584
  4. Step 4: Simplify right side
    13,550.93x = 141,822,847.68
  5. Step 5: Solve for x
    x = 141,822,847.68/13,550.93
  6. Step 6: Final answer
    x = 10,465.91

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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.