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Finding the Fourth Proportional to 12,409.61, 17,124.82 and 7,100.66

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Solution

The fourth proportional to 12,409.61, 17,124.82 and 7,100.66 is: 9,798.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.61 : 17,124.82 = 7,100.66 : x
  2. Step 2: Convert to fraction form
    12,409.61/17,124.82 = 7,100.66/x
  3. Step 3: Cross multiply
    12,409.61x = 17,124.82 × 7,100.66
  4. Step 4: Simplify right side
    12,409.61x = 121,597,549.44
  5. Step 5: Solve for x
    x = 121,597,549.44/12,409.61
  6. Step 6: Final answer
    x = 9,798.66

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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.