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Finding the Fourth Proportional to 19,724.88, 29,579.16 and 8,030.16

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Solution

The fourth proportional to 19,724.88, 29,579.16 and 8,030.16 is: 12,041.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,724.88 : 29,579.16 = 8,030.16 : x
  2. Step 2: Convert to fraction form
    19,724.88/29,579.16 = 8,030.16/x
  3. Step 3: Cross multiply
    19,724.88x = 29,579.16 × 8,030.16
  4. Step 4: Simplify right side
    19,724.88x = 237,525,387.47
  5. Step 5: Solve for x
    x = 237,525,387.47/19,724.88
  6. Step 6: Final answer
    x = 12,041.92

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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.