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Finding the Fourth Proportional to 12,314.15, 18,498.57 and 7,637.62

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Solution

The fourth proportional to 12,314.15, 18,498.57 and 7,637.62 is: 11,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.15 : 18,498.57 = 7,637.62 : x
  2. Step 2: Convert to fraction form
    12,314.15/18,498.57 = 7,637.62/x
  3. Step 3: Cross multiply
    12,314.15x = 18,498.57 × 7,637.62
  4. Step 4: Simplify right side
    12,314.15x = 141,284,973.32
  5. Step 5: Solve for x
    x = 141,284,973.32/12,314.15
  6. Step 6: Final answer
    x = 11,473.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.