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Finding the Fourth Proportional to 14,322.97, 19,769.34 and 9,787.49

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Solution

The fourth proportional to 14,322.97, 19,769.34 and 9,787.49 is: 13,509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,322.97 : 19,769.34 = 9,787.49 : x
  2. Step 2: Convert to fraction form
    14,322.97/19,769.34 = 9,787.49/x
  3. Step 3: Cross multiply
    14,322.97x = 19,769.34 × 9,787.49
  4. Step 4: Simplify right side
    14,322.97x = 193,492,193.21
  5. Step 5: Solve for x
    x = 193,492,193.21/14,322.97
  6. Step 6: Final answer
    x = 13,509.22

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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.