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Finding the Fourth Proportional to 13,552.12, 18,700.86 and 7,583.32

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Solution

The fourth proportional to 13,552.12, 18,700.86 and 7,583.32 is: 10,464.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,552.12 : 18,700.86 = 7,583.32 : x
  2. Step 2: Convert to fraction form
    13,552.12/18,700.86 = 7,583.32/x
  3. Step 3: Cross multiply
    13,552.12x = 18,700.86 × 7,583.32
  4. Step 4: Simplify right side
    13,552.12x = 141,814,605.66
  5. Step 5: Solve for x
    x = 141,814,605.66/13,552.12
  6. Step 6: Final answer
    x = 10,464.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.