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Finding the Fourth Proportional to 10,699.10, 14,768.81 and 9,578.03

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Solution

The fourth proportional to 10,699.10, 14,768.81 and 9,578.03 is: 13,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.10 : 14,768.81 = 9,578.03 : x
  2. Step 2: Convert to fraction form
    10,699.10/14,768.81 = 9,578.03/x
  3. Step 3: Cross multiply
    10,699.10x = 14,768.81 × 9,578.03
  4. Step 4: Simplify right side
    10,699.10x = 141,455,983.51
  5. Step 5: Solve for x
    x = 141,455,983.51/10,699.10
  6. Step 6: Final answer
    x = 13,221.30

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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.