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Finding the Fourth Proportional to 15,098.64, 20,835.80 and 8,384.12

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Solution

The fourth proportional to 15,098.64, 20,835.80 and 8,384.12 is: 11,569.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,098.64 : 20,835.80 = 8,384.12 : x
  2. Step 2: Convert to fraction form
    15,098.64/20,835.80 = 8,384.12/x
  3. Step 3: Cross multiply
    15,098.64x = 20,835.80 × 8,384.12
  4. Step 4: Simplify right side
    15,098.64x = 174,689,847.50
  5. Step 5: Solve for x
    x = 174,689,847.50/15,098.64
  6. Step 6: Final answer
    x = 11,569.91

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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.