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Finding the Fourth Proportional to 12,570.57, 17,343.02 and 7,464.93

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Solution

The fourth proportional to 12,570.57, 17,343.02 and 7,464.93 is: 10,299.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570.57 : 17,343.02 = 7,464.93 : x
  2. Step 2: Convert to fraction form
    12,570.57/17,343.02 = 7,464.93/x
  3. Step 3: Cross multiply
    12,570.57x = 17,343.02 × 7,464.93
  4. Step 4: Simplify right side
    12,570.57x = 129,464,383.91
  5. Step 5: Solve for x
    x = 129,464,383.91/12,570.57
  6. Step 6: Final answer
    x = 10,299.01

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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.