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Finding the Fourth Proportional to 13,282.74, 19,924.14 and 7,436.16

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Solution

The fourth proportional to 13,282.74, 19,924.14 and 7,436.16 is: 11,154.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,282.74 : 19,924.14 = 7,436.16 : x
  2. Step 2: Convert to fraction form
    13,282.74/19,924.14 = 7,436.16/x
  3. Step 3: Cross multiply
    13,282.74x = 19,924.14 × 7,436.16
  4. Step 4: Simplify right side
    13,282.74x = 148,159,092.90
  5. Step 5: Solve for x
    x = 148,159,092.90/13,282.74
  6. Step 6: Final answer
    x = 11,154.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.