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Finding the Fourth Proportional to 15,098.06, 20,838.28 and 9,643.64

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Solution

The fourth proportional to 15,098.06, 20,838.28 and 9,643.64 is: 13,310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,098.06 : 20,838.28 = 9,643.64 : x
  2. Step 2: Convert to fraction form
    15,098.06/20,838.28 = 9,643.64/x
  3. Step 3: Cross multiply
    15,098.06x = 20,838.28 × 9,643.64
  4. Step 4: Simplify right side
    15,098.06x = 200,956,870.54
  5. Step 5: Solve for x
    x = 200,956,870.54/15,098.06
  6. Step 6: Final answer
    x = 13,310.11

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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.