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Finding the Fourth Proportional to 17,806.17, 24,573.15 and 11,518.53

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Solution

The fourth proportional to 17,806.17, 24,573.15 and 11,518.53 is: 15,895.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,806.17 : 24,573.15 = 11,518.53 : x
  2. Step 2: Convert to fraction form
    17,806.17/24,573.15 = 11,518.53/x
  3. Step 3: Cross multiply
    17,806.17x = 24,573.15 × 11,518.53
  4. Step 4: Simplify right side
    17,806.17x = 283,046,565.47
  5. Step 5: Solve for x
    x = 283,046,565.47/17,806.17
  6. Step 6: Final answer
    x = 15,895.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.