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Finding the Fourth Proportional to 17,488.32, 24,133.17 and 9,530.37

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Solution

The fourth proportional to 17,488.32, 24,133.17 and 9,530.37 is: 13,151.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,488.32 : 24,133.17 = 9,530.37 : x
  2. Step 2: Convert to fraction form
    17,488.32/24,133.17 = 9,530.37/x
  3. Step 3: Cross multiply
    17,488.32x = 24,133.17 × 9,530.37
  4. Step 4: Simplify right side
    17,488.32x = 229,998,075.11
  5. Step 5: Solve for x
    x = 229,998,075.11/17,488.32
  6. Step 6: Final answer
    x = 13,151.53

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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.