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Finding the Fourth Proportional to 17,488.58, 24,134.18 and 9,530.78

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Solution

The fourth proportional to 17,488.58, 24,134.18 and 9,530.78 is: 13,152.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,488.58 : 24,134.18 = 9,530.78 : x
  2. Step 2: Convert to fraction form
    17,488.58/24,134.18 = 9,530.78/x
  3. Step 3: Cross multiply
    17,488.58x = 24,134.18 × 9,530.78
  4. Step 4: Simplify right side
    17,488.58x = 230,017,644.22
  5. Step 5: Solve for x
    x = 230,017,644.22/17,488.58
  6. Step 6: Final answer
    x = 13,152.45

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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.