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Finding the Fourth Proportional to 15,705.63, 21,674.66 and 8,993.30

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Solution

The fourth proportional to 15,705.63, 21,674.66 and 8,993.30 is: 12,411.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.63 : 21,674.66 = 8,993.30 : x
  2. Step 2: Convert to fraction form
    15,705.63/21,674.66 = 8,993.30/x
  3. Step 3: Cross multiply
    15,705.63x = 21,674.66 × 8,993.30
  4. Step 4: Simplify right side
    15,705.63x = 194,926,566.44
  5. Step 5: Solve for x
    x = 194,926,566.44/15,705.63
  6. Step 6: Final answer
    x = 12,411.25

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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.