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Finding the Fourth Proportional to 14,409.19, 19,901.09 and 9,685.27

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Solution

The fourth proportional to 14,409.19, 19,901.09 and 9,685.27 is: 13,376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409.19 : 19,901.09 = 9,685.27 : x
  2. Step 2: Convert to fraction form
    14,409.19/19,901.09 = 9,685.27/x
  3. Step 3: Cross multiply
    14,409.19x = 19,901.09 × 9,685.27
  4. Step 4: Simplify right side
    14,409.19x = 192,747,331.77
  5. Step 5: Solve for x
    x = 192,747,331.77/14,409.19
  6. Step 6: Final answer
    x = 13,376.70

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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.