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Finding the Fourth Proportional to 13,012.32, 17,956.98 and 7,348.23

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Solution

The fourth proportional to 13,012.32, 17,956.98 and 7,348.23 is: 10,140.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.32 : 17,956.98 = 7,348.23 : x
  2. Step 2: Convert to fraction form
    13,012.32/17,956.98 = 7,348.23/x
  3. Step 3: Cross multiply
    13,012.32x = 17,956.98 × 7,348.23
  4. Step 4: Simplify right side
    13,012.32x = 131,952,019.15
  5. Step 5: Solve for x
    x = 131,952,019.15/13,012.32
  6. Step 6: Final answer
    x = 10,140.55

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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.