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Finding the Fourth Proportional to 15,697.25, 21,652.59 and 9,319.51

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Solution

The fourth proportional to 15,697.25, 21,652.59 and 9,319.51 is: 12,855.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.25 : 21,652.59 = 9,319.51 : x
  2. Step 2: Convert to fraction form
    15,697.25/21,652.59 = 9,319.51/x
  3. Step 3: Cross multiply
    15,697.25x = 21,652.59 × 9,319.51
  4. Step 4: Simplify right side
    15,697.25x = 201,791,474.90
  5. Step 5: Solve for x
    x = 201,791,474.90/15,697.25
  6. Step 6: Final answer
    x = 12,855.22

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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.