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Finding the Fourth Proportional to 12,902.02, 17,784.09 and 8,702.98

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Solution

The fourth proportional to 12,902.02, 17,784.09 and 8,702.98 is: 11,996.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.02 : 17,784.09 = 8,702.98 : x
  2. Step 2: Convert to fraction form
    12,902.02/17,784.09 = 8,702.98/x
  3. Step 3: Cross multiply
    12,902.02x = 17,784.09 × 8,702.98
  4. Step 4: Simplify right side
    12,902.02x = 154,774,579.59
  5. Step 5: Solve for x
    x = 154,774,579.59/12,902.02
  6. Step 6: Final answer
    x = 11,996.15

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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.