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Finding the Fourth Proportional to 19,056.16, 28,601.78 and 9,702.86

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Solution

The fourth proportional to 19,056.16, 28,601.78 and 9,702.86 is: 14,563.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,056.16 : 28,601.78 = 9,702.86 : x
  2. Step 2: Convert to fraction form
    19,056.16/28,601.78 = 9,702.86/x
  3. Step 3: Cross multiply
    19,056.16x = 28,601.78 × 9,702.86
  4. Step 4: Simplify right side
    19,056.16x = 277,519,067.09
  5. Step 5: Solve for x
    x = 277,519,067.09/19,056.16
  6. Step 6: Final answer
    x = 14,563.22

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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.