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Finding the Fourth Proportional to 10,700.10, 14,770.19 and 9,579.03

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Solution

The fourth proportional to 10,700.10, 14,770.19 and 9,579.03 is: 13,222.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.10 : 14,770.19 = 9,579.03 : x
  2. Step 2: Convert to fraction form
    10,700.10/14,770.19 = 9,579.03/x
  3. Step 3: Cross multiply
    10,700.10x = 14,770.19 × 9,579.03
  4. Step 4: Simplify right side
    10,700.10x = 141,484,093.12
  5. Step 5: Solve for x
    x = 141,484,093.12/10,700.10
  6. Step 6: Final answer
    x = 13,222.69

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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.