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Finding the Fourth Proportional to 22,705.41, 34,058.13 and 7,124.25

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Solution

The fourth proportional to 22,705.41, 34,058.13 and 7,124.25 is: 10,686.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,705.41 : 34,058.13 = 7,124.25 : x
  2. Step 2: Convert to fraction form
    22,705.41/34,058.13 = 7,124.25/x
  3. Step 3: Cross multiply
    22,705.41x = 34,058.13 × 7,124.25
  4. Step 4: Simplify right side
    22,705.41x = 242,638,632.65
  5. Step 5: Solve for x
    x = 242,638,632.65/22,705.41
  6. Step 6: Final answer
    x = 10,686.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.