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Finding the Fourth Proportional to 17,488.20, 24,133.74 and 9,530.42

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Solution

The fourth proportional to 17,488.20, 24,133.74 and 9,530.42 is: 13,152.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,488.20 : 24,133.74 = 9,530.42 : x
  2. Step 2: Convert to fraction form
    17,488.20/24,133.74 = 9,530.42/x
  3. Step 3: Cross multiply
    17,488.20x = 24,133.74 × 9,530.42
  4. Step 4: Simplify right side
    17,488.20x = 230,004,678.37
  5. Step 5: Solve for x
    x = 230,004,678.37/17,488.20
  6. Step 6: Final answer
    x = 13,152.00

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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.