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Finding the Fourth Proportional to 14,282.51, 21,437.60 and 6,892.16

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Solution

The fourth proportional to 14,282.51, 21,437.60 and 6,892.16 is: 10,344.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.51 : 21,437.60 = 6,892.16 : x
  2. Step 2: Convert to fraction form
    14,282.51/21,437.60 = 6,892.16/x
  3. Step 3: Cross multiply
    14,282.51x = 21,437.60 × 6,892.16
  4. Step 4: Simplify right side
    14,282.51x = 147,751,227.57
  5. Step 5: Solve for x
    x = 147,751,227.57/14,282.51
  6. Step 6: Final answer
    x = 10,344.91

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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.