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Finding the Fourth Proportional to 15,705.66, 21,674.28 and 8,993.46

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Solution

The fourth proportional to 15,705.66, 21,674.28 and 8,993.46 is: 12,411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.66 : 21,674.28 = 8,993.46 : x
  2. Step 2: Convert to fraction form
    15,705.66/21,674.28 = 8,993.46/x
  3. Step 3: Cross multiply
    15,705.66x = 21,674.28 × 8,993.46
  4. Step 4: Simplify right side
    15,705.66x = 194,926,770.21
  5. Step 5: Solve for x
    x = 194,926,770.21/15,705.66
  6. Step 6: Final answer
    x = 12,411.24

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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.