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Finding the Fourth Proportional to 19,880.48, 29,820.74 and 9,342.77

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Solution

The fourth proportional to 19,880.48, 29,820.74 and 9,342.77 is: 14,014.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,880.48 : 29,820.74 = 9,342.77 : x
  2. Step 2: Convert to fraction form
    19,880.48/29,820.74 = 9,342.77/x
  3. Step 3: Cross multiply
    19,880.48x = 29,820.74 × 9,342.77
  4. Step 4: Simplify right side
    19,880.48x = 278,608,315.05
  5. Step 5: Solve for x
    x = 278,608,315.05/19,880.48
  6. Step 6: Final answer
    x = 14,014.16

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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.