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Finding the Fourth Proportional to 14,416.63, 19,896.33 and 9,039.93

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Solution

The fourth proportional to 14,416.63, 19,896.33 and 9,039.93 is: 12,475.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.63 : 19,896.33 = 9,039.93 : x
  2. Step 2: Convert to fraction form
    14,416.63/19,896.33 = 9,039.93/x
  3. Step 3: Cross multiply
    14,416.63x = 19,896.33 × 9,039.93
  4. Step 4: Simplify right side
    14,416.63x = 179,861,430.46
  5. Step 5: Solve for x
    x = 179,861,430.46/14,416.63
  6. Step 6: Final answer
    x = 12,475.97

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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.