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Finding the Fourth Proportional to 15,252.66, 22,858.35 and 9,697.14

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Solution

The fourth proportional to 15,252.66, 22,858.35 and 9,697.14 is: 14,532.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,252.66 : 22,858.35 = 9,697.14 : x
  2. Step 2: Convert to fraction form
    15,252.66/22,858.35 = 9,697.14/x
  3. Step 3: Cross multiply
    15,252.66x = 22,858.35 × 9,697.14
  4. Step 4: Simplify right side
    15,252.66x = 221,660,620.12
  5. Step 5: Solve for x
    x = 221,660,620.12/15,252.66
  6. Step 6: Final answer
    x = 14,532.59

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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.