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Finding the Fourth Proportional to 17,864.90, 24,653.57 and 9,907.22

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Solution

The fourth proportional to 17,864.90, 24,653.57 and 9,907.22 is: 13,671.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,864.90 : 24,653.57 = 9,907.22 : x
  2. Step 2: Convert to fraction form
    17,864.90/24,653.57 = 9,907.22/x
  3. Step 3: Cross multiply
    17,864.90x = 24,653.57 × 9,907.22
  4. Step 4: Simplify right side
    17,864.90x = 244,248,341.78
  5. Step 5: Solve for x
    x = 244,248,341.78/17,864.90
  6. Step 6: Final answer
    x = 13,671.97

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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.