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Finding the Fourth Proportional to 19,731.60, 29,598.92 and 6,583.98

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Solution

The fourth proportional to 19,731.60, 29,598.92 and 6,583.98 is: 9,876.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,731.60 : 29,598.92 = 6,583.98 : x
  2. Step 2: Convert to fraction form
    19,731.60/29,598.92 = 6,583.98/x
  3. Step 3: Cross multiply
    19,731.60x = 29,598.92 × 6,583.98
  4. Step 4: Simplify right side
    19,731.60x = 194,878,800.07
  5. Step 5: Solve for x
    x = 194,878,800.07/19,731.60
  6. Step 6: Final answer
    x = 9,876.48

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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.