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Finding the Fourth Proportional to 10,700.70, 16,051.05 and 9,643.65

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Solution

The fourth proportional to 10,700.70, 16,051.05 and 9,643.65 is: 14,465.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.70 : 16,051.05 = 9,643.65 : x
  2. Step 2: Convert to fraction form
    10,700.70/16,051.05 = 9,643.65/x
  3. Step 3: Cross multiply
    10,700.70x = 16,051.05 × 9,643.65
  4. Step 4: Simplify right side
    10,700.70x = 154,790,708.33
  5. Step 5: Solve for x
    x = 154,790,708.33/10,700.70
  6. Step 6: Final answer
    x = 14,465.48

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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.