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Finding the Fourth Proportional to 12,504.29, 17,259.35 and 7,471.89

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Solution

The fourth proportional to 12,504.29, 17,259.35 and 7,471.89 is: 10,313.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,504.29 : 17,259.35 = 7,471.89 : x
  2. Step 2: Convert to fraction form
    12,504.29/17,259.35 = 7,471.89/x
  3. Step 3: Cross multiply
    12,504.29x = 17,259.35 × 7,471.89
  4. Step 4: Simplify right side
    12,504.29x = 128,959,927.31
  5. Step 5: Solve for x
    x = 128,959,927.31/12,504.29
  6. Step 6: Final answer
    x = 10,313.26

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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.