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Finding the Fourth Proportional to 12,967.83, 17,894.59 and 7,661.66

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Solution

The fourth proportional to 12,967.83, 17,894.59 and 7,661.66 is: 10,572.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.83 : 17,894.59 = 7,661.66 : x
  2. Step 2: Convert to fraction form
    12,967.83/17,894.59 = 7,661.66/x
  3. Step 3: Cross multiply
    12,967.83x = 17,894.59 × 7,661.66
  4. Step 4: Simplify right side
    12,967.83x = 137,102,155.79
  5. Step 5: Solve for x
    x = 137,102,155.79/12,967.83
  6. Step 6: Final answer
    x = 10,572.48

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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.