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Finding the Fourth Proportional to 16,705.30, 25,058.16 and 5,017.84

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Solution

The fourth proportional to 16,705.30, 25,058.16 and 5,017.84 is: 7,526.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705.30 : 25,058.16 = 5,017.84 : x
  2. Step 2: Convert to fraction form
    16,705.30/25,058.16 = 5,017.84/x
  3. Step 3: Cross multiply
    16,705.30x = 25,058.16 × 5,017.84
  4. Step 4: Simplify right side
    16,705.30x = 125,737,837.57
  5. Step 5: Solve for x
    x = 125,737,837.57/16,705.30
  6. Step 6: Final answer
    x = 7,526.82

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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.