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Finding the Fourth Proportional to 17,830.74, 24,606.54 and 9,873.48

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Solution

The fourth proportional to 17,830.74, 24,606.54 and 9,873.48 is: 13,625.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.74 : 24,606.54 = 9,873.48 : x
  2. Step 2: Convert to fraction form
    17,830.74/24,606.54 = 9,873.48/x
  3. Step 3: Cross multiply
    17,830.74x = 24,606.54 × 9,873.48
  4. Step 4: Simplify right side
    17,830.74x = 242,952,180.56
  5. Step 5: Solve for x
    x = 242,952,180.56/17,830.74
  6. Step 6: Final answer
    x = 13,625.47

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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.