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Finding the Fourth Proportional to 15,218.16, 22,828.72 and 5,982

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Solution

The fourth proportional to 15,218.16, 22,828.72 and 5,982 is: 8,973.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,218.16 : 22,828.72 = 5,982 : x
  2. Step 2: Convert to fraction form
    15,218.16/22,828.72 = 5,982/x
  3. Step 3: Cross multiply
    15,218.16x = 22,828.72 × 5,982
  4. Step 4: Simplify right side
    15,218.16x = 136,561,403.04
  5. Step 5: Solve for x
    x = 136,561,403.04/15,218.16
  6. Step 6: Final answer
    x = 8,973.58

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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.