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Finding the Fourth Proportional to 14,244.42, 19,653.41 and 9,769.28

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Solution

The fourth proportional to 14,244.42, 19,653.41 and 9,769.28 is: 13,478.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,244.42 : 19,653.41 = 9,769.28 : x
  2. Step 2: Convert to fraction form
    14,244.42/19,653.41 = 9,769.28/x
  3. Step 3: Cross multiply
    14,244.42x = 19,653.41 × 9,769.28
  4. Step 4: Simplify right side
    14,244.42x = 191,999,518.13
  5. Step 5: Solve for x
    x = 191,999,518.13/14,244.42
  6. Step 6: Final answer
    x = 13,478.93

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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.