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Finding the Fourth Proportional to 17,688.40, 24,410.12 and 9,730.42

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Solution

The fourth proportional to 17,688.40, 24,410.12 and 9,730.42 is: 13,428.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,688.40 : 24,410.12 = 9,730.42 : x
  2. Step 2: Convert to fraction form
    17,688.40/24,410.12 = 9,730.42/x
  3. Step 3: Cross multiply
    17,688.40x = 24,410.12 × 9,730.42
  4. Step 4: Simplify right side
    17,688.40x = 237,520,719.85
  5. Step 5: Solve for x
    x = 237,520,719.85/17,688.40
  6. Step 6: Final answer
    x = 13,428.05

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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.