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Finding the Fourth Proportional to 12,990.99, 19,437.74 and 7,706.66

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Solution

The fourth proportional to 12,990.99, 19,437.74 and 7,706.66 is: 11,531.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,990.99 : 19,437.74 = 7,706.66 : x
  2. Step 2: Convert to fraction form
    12,990.99/19,437.74 = 7,706.66/x
  3. Step 3: Cross multiply
    12,990.99x = 19,437.74 × 7,706.66
  4. Step 4: Simplify right side
    12,990.99x = 149,799,946.53
  5. Step 5: Solve for x
    x = 149,799,946.53/12,990.99
  6. Step 6: Final answer
    x = 11,531.06

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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.