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Finding the Fourth Proportional to 12,570.23, 17,349.45 and 7,264.33

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Solution

The fourth proportional to 12,570.23, 17,349.45 and 7,264.33 is: 10,026.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570.23 : 17,349.45 = 7,264.33 : x
  2. Step 2: Convert to fraction form
    12,570.23/17,349.45 = 7,264.33/x
  3. Step 3: Cross multiply
    12,570.23x = 17,349.45 × 7,264.33
  4. Step 4: Simplify right side
    12,570.23x = 126,032,130.12
  5. Step 5: Solve for x
    x = 126,032,130.12/12,570.23
  6. Step 6: Final answer
    x = 10,026.24

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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.