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Finding the Fourth Proportional to 10,814.46, 16,143.47 and 9,502.26

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Solution

The fourth proportional to 10,814.46, 16,143.47 and 9,502.26 is: 14,184.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.46 : 16,143.47 = 9,502.26 : x
  2. Step 2: Convert to fraction form
    10,814.46/16,143.47 = 9,502.26/x
  3. Step 3: Cross multiply
    10,814.46x = 16,143.47 × 9,502.26
  4. Step 4: Simplify right side
    10,814.46x = 153,399,449.24
  5. Step 5: Solve for x
    x = 153,399,449.24/10,814.46
  6. Step 6: Final answer
    x = 14,184.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.