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Finding the Fourth Proportional to 15,851.74, 21,870.46 and 9,136.46

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Solution

The fourth proportional to 15,851.74, 21,870.46 and 9,136.46 is: 12,605.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,851.74 : 21,870.46 = 9,136.46 : x
  2. Step 2: Convert to fraction form
    15,851.74/21,870.46 = 9,136.46/x
  3. Step 3: Cross multiply
    15,851.74x = 21,870.46 × 9,136.46
  4. Step 4: Simplify right side
    15,851.74x = 199,818,505.41
  5. Step 5: Solve for x
    x = 199,818,505.41/15,851.74
  6. Step 6: Final answer
    x = 12,605.46

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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.