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Finding the Fourth Proportional to 19,970.48, 29,959.85 and 8,124.26

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Solution

The fourth proportional to 19,970.48, 29,959.85 and 8,124.26 is: 12,188.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,970.48 : 29,959.85 = 8,124.26 : x
  2. Step 2: Convert to fraction form
    19,970.48/29,959.85 = 8,124.26/x
  3. Step 3: Cross multiply
    19,970.48x = 29,959.85 × 8,124.26
  4. Step 4: Simplify right side
    19,970.48x = 243,401,610.96
  5. Step 5: Solve for x
    x = 243,401,610.96/19,970.48
  6. Step 6: Final answer
    x = 12,188.07

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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.