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Finding the Fourth Proportional to 19,846.56, 29,762.88 and 5,802.72

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Solution

The fourth proportional to 19,846.56, 29,762.88 and 5,802.72 is: 8,702.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,846.56 : 29,762.88 = 5,802.72 : x
  2. Step 2: Convert to fraction form
    19,846.56/29,762.88 = 5,802.72/x
  3. Step 3: Cross multiply
    19,846.56x = 29,762.88 × 5,802.72
  4. Step 4: Simplify right side
    19,846.56x = 172,705,659.03
  5. Step 5: Solve for x
    x = 172,705,659.03/19,846.56
  6. Step 6: Final answer
    x = 8,702.05

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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.