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Finding the Fourth Proportional to 25,702.46, 38,548.34 and 9,902.06

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Solution

The fourth proportional to 25,702.46, 38,548.34 and 9,902.06 is: 14,851.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,702.46 : 38,548.34 = 9,902.06 : x
  2. Step 2: Convert to fraction form
    25,702.46/38,548.34 = 9,902.06/x
  3. Step 3: Cross multiply
    25,702.46x = 38,548.34 × 9,902.06
  4. Step 4: Simplify right side
    25,702.46x = 381,707,975.58
  5. Step 5: Solve for x
    x = 381,707,975.58/25,702.46
  6. Step 6: Final answer
    x = 14,851.03

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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.