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Finding the Fourth Proportional to 19,702.31, 29,558.13 and 5,662.00

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Solution

The fourth proportional to 19,702.31, 29,558.13 and 5,662.00 is: 8,494.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,702.31 : 29,558.13 = 5,662.00 : x
  2. Step 2: Convert to fraction form
    19,702.31/29,558.13 = 5,662.00/x
  3. Step 3: Cross multiply
    19,702.31x = 29,558.13 × 5,662.00
  4. Step 4: Simplify right side
    19,702.31x = 167,357,955.96
  5. Step 5: Solve for x
    x = 167,357,955.96/19,702.31
  6. Step 6: Final answer
    x = 8,494.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.