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Finding the Fourth Proportional to 13,256.78, 18,294.52 and 7,288.46

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Solution

The fourth proportional to 13,256.78, 18,294.52 and 7,288.46 is: 10,058.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,256.78 : 18,294.52 = 7,288.46 : x
  2. Step 2: Convert to fraction form
    13,256.78/18,294.52 = 7,288.46/x
  3. Step 3: Cross multiply
    13,256.78x = 18,294.52 × 7,288.46
  4. Step 4: Simplify right side
    13,256.78x = 133,338,877.24
  5. Step 5: Solve for x
    x = 133,338,877.24/13,256.78
  6. Step 6: Final answer
    x = 10,058.16

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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.