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Finding the Fourth Proportional to 15,317.51, 22,974.84 and 5,322.00

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Solution

The fourth proportional to 15,317.51, 22,974.84 and 5,322.00 is: 7,982.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,317.51 : 22,974.84 = 5,322.00 : x
  2. Step 2: Convert to fraction form
    15,317.51/22,974.84 = 5,322.00/x
  3. Step 3: Cross multiply
    15,317.51x = 22,974.84 × 5,322.00
  4. Step 4: Simplify right side
    15,317.51x = 122,272,184.64
  5. Step 5: Solve for x
    x = 122,272,184.64/15,317.51
  6. Step 6: Final answer
    x = 7,982.51

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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.