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Finding the Fourth Proportional to 19,720.88, 29,573.16 and 8,026.16

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Solution

The fourth proportional to 19,720.88, 29,573.16 and 8,026.16 is: 12,035.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,720.88 : 29,573.16 = 8,026.16 : x
  2. Step 2: Convert to fraction form
    19,720.88/29,573.16 = 8,026.16/x
  3. Step 3: Cross multiply
    19,720.88x = 29,573.16 × 8,026.16
  4. Step 4: Simplify right side
    19,720.88x = 237,358,913.87
  5. Step 5: Solve for x
    x = 237,358,913.87/19,720.88
  6. Step 6: Final answer
    x = 12,035.92

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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.