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Finding the Fourth Proportional to 17,688.57, 24,410.04 and 9,730.80

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Solution

The fourth proportional to 17,688.57, 24,410.04 and 9,730.80 is: 13,428.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,688.57 : 24,410.04 = 9,730.80 : x
  2. Step 2: Convert to fraction form
    17,688.57/24,410.04 = 9,730.80/x
  3. Step 3: Cross multiply
    17,688.57x = 24,410.04 × 9,730.80
  4. Step 4: Simplify right side
    17,688.57x = 237,529,217.23
  5. Step 5: Solve for x
    x = 237,529,217.23/17,688.57
  6. Step 6: Final answer
    x = 13,428.40

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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.