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Finding the Fourth Proportional to 19,880.47, 29,820.72 and 9,342.76

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Solution

The fourth proportional to 19,880.47, 29,820.72 and 9,342.76 is: 14,014.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,880.47 : 29,820.72 = 9,342.76 : x
  2. Step 2: Convert to fraction form
    19,880.47/29,820.72 = 9,342.76/x
  3. Step 3: Cross multiply
    19,880.47x = 29,820.72 × 9,342.76
  4. Step 4: Simplify right side
    19,880.47x = 278,607,793.83
  5. Step 5: Solve for x
    x = 278,607,793.83/19,880.47
  6. Step 6: Final answer
    x = 14,014.14

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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.