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Finding the Fourth Proportional to 12,007.54, 16,570.64 and 6,969.93

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Solution

The fourth proportional to 12,007.54, 16,570.64 and 6,969.93 is: 9,618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007.54 : 16,570.64 = 6,969.93 : x
  2. Step 2: Convert to fraction form
    12,007.54/16,570.64 = 6,969.93/x
  3. Step 3: Cross multiply
    12,007.54x = 16,570.64 × 6,969.93
  4. Step 4: Simplify right side
    12,007.54x = 115,496,249.35
  5. Step 5: Solve for x
    x = 115,496,249.35/12,007.54
  6. Step 6: Final answer
    x = 9,618.64

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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.