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Finding the Fourth Proportional to 12,559.74, 17,331.35 and 6,894.47

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Solution

The fourth proportional to 12,559.74, 17,331.35 and 6,894.47 is: 9,513.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,559.74 : 17,331.35 = 6,894.47 : x
  2. Step 2: Convert to fraction form
    12,559.74/17,331.35 = 6,894.47/x
  3. Step 3: Cross multiply
    12,559.74x = 17,331.35 × 6,894.47
  4. Step 4: Simplify right side
    12,559.74x = 119,490,451.87
  5. Step 5: Solve for x
    x = 119,490,451.87/12,559.74
  6. Step 6: Final answer
    x = 9,513.77

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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.