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Finding the Fourth Proportional to 17,830.06, 24,606.39 and 9,873.16

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Solution

The fourth proportional to 17,830.06, 24,606.39 and 9,873.16 is: 13,625.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.06 : 24,606.39 = 9,873.16 : x
  2. Step 2: Convert to fraction form
    17,830.06/24,606.39 = 9,873.16/x
  3. Step 3: Cross multiply
    17,830.06x = 24,606.39 × 9,873.16
  4. Step 4: Simplify right side
    17,830.06x = 242,942,825.49
  5. Step 5: Solve for x
    x = 242,942,825.49/17,830.06
  6. Step 6: Final answer
    x = 13,625.46

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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.