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Finding the Fourth Proportional to 17,697.60, 24,423.12 and 9,739.08

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Solution

The fourth proportional to 17,697.60, 24,423.12 and 9,739.08 is: 13,440.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,697.60 : 24,423.12 = 9,739.08 : x
  2. Step 2: Convert to fraction form
    17,697.60/24,423.12 = 9,739.08/x
  3. Step 3: Cross multiply
    17,697.60x = 24,423.12 × 9,739.08
  4. Step 4: Simplify right side
    17,697.60x = 237,858,719.53
  5. Step 5: Solve for x
    x = 237,858,719.53/17,697.60
  6. Step 6: Final answer
    x = 13,440.17

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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.