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Finding the Fourth Proportional to 17,688.42, 24,410.13 and 9,730.44

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Solution

The fourth proportional to 17,688.42, 24,410.13 and 9,730.44 is: 13,428.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,688.42 : 24,410.13 = 9,730.44 : x
  2. Step 2: Convert to fraction form
    17,688.42/24,410.13 = 9,730.44/x
  3. Step 3: Cross multiply
    17,688.42x = 24,410.13 × 9,730.44
  4. Step 4: Simplify right side
    17,688.42x = 237,521,305.36
  5. Step 5: Solve for x
    x = 237,521,305.36/17,688.42
  6. Step 6: Final answer
    x = 13,428.07

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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.