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Finding the Fourth Proportional to 19,702.64, 29,555.98 and 6,551.48

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Solution

The fourth proportional to 19,702.64, 29,555.98 and 6,551.48 is: 9,827.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,702.64 : 29,555.98 = 6,551.48 : x
  2. Step 2: Convert to fraction form
    19,702.64/29,555.98 = 6,551.48/x
  3. Step 3: Cross multiply
    19,702.64x = 29,555.98 × 6,551.48
  4. Step 4: Simplify right side
    19,702.64x = 193,635,411.85
  5. Step 5: Solve for x
    x = 193,635,411.85/19,702.64
  6. Step 6: Final answer
    x = 9,827.89

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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.