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Finding the Fourth Proportional to 12,657.66, 17,468.30 and 7,623.51

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Solution

The fourth proportional to 12,657.66, 17,468.30 and 7,623.51 is: 10,520.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.66 : 17,468.30 = 7,623.51 : x
  2. Step 2: Convert to fraction form
    12,657.66/17,468.30 = 7,623.51/x
  3. Step 3: Cross multiply
    12,657.66x = 17,468.30 × 7,623.51
  4. Step 4: Simplify right side
    12,657.66x = 133,169,721.62
  5. Step 5: Solve for x
    x = 133,169,721.62/12,657.66
  6. Step 6: Final answer
    x = 10,520.88

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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.