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Finding the Fourth Proportional to 14,130.42, 19,500.30 and 7,843.20

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Solution

The fourth proportional to 14,130.42, 19,500.30 and 7,843.20 is: 10,823.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,130.42 : 19,500.30 = 7,843.20 : x
  2. Step 2: Convert to fraction form
    14,130.42/19,500.30 = 7,843.20/x
  3. Step 3: Cross multiply
    14,130.42x = 19,500.30 × 7,843.20
  4. Step 4: Simplify right side
    14,130.42x = 152,944,752.96
  5. Step 5: Solve for x
    x = 152,944,752.96/14,130.42
  6. Step 6: Final answer
    x = 10,823.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.