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Finding the Fourth Proportional to 21,515.60, 32,228.04 and 9,838.64

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Solution

The fourth proportional to 21,515.60, 32,228.04 and 9,838.64 is: 14,737.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,515.60 : 32,228.04 = 9,838.64 : x
  2. Step 2: Convert to fraction form
    21,515.60/32,228.04 = 9,838.64/x
  3. Step 3: Cross multiply
    21,515.60x = 32,228.04 × 9,838.64
  4. Step 4: Simplify right side
    21,515.60x = 317,080,083.47
  5. Step 5: Solve for x
    x = 317,080,083.47/21,515.60
  6. Step 6: Final answer
    x = 14,737.22

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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.