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Finding the Fourth Proportional to 10,294.56, 15,354.84 and 9,983.05

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Solution

The fourth proportional to 10,294.56, 15,354.84 and 9,983.05 is: 14,890.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.56 : 15,354.84 = 9,983.05 : x
  2. Step 2: Convert to fraction form
    10,294.56/15,354.84 = 9,983.05/x
  3. Step 3: Cross multiply
    10,294.56x = 15,354.84 × 9,983.05
  4. Step 4: Simplify right side
    10,294.56x = 153,288,134.51
  5. Step 5: Solve for x
    x = 153,288,134.51/10,294.56
  6. Step 6: Final answer
    x = 14,890.21

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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.