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Finding the Fourth Proportional to 19,983.40, 29,975.10 and 19,130.20

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Solution

The fourth proportional to 19,983.40, 29,975.10 and 19,130.20 is: 28,695.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,983.40 : 29,975.10 = 19,130.20 : x
  2. Step 2: Convert to fraction form
    19,983.40/29,975.10 = 19,130.20/x
  3. Step 3: Cross multiply
    19,983.40x = 29,975.10 × 19,130.20
  4. Step 4: Simplify right side
    19,983.40x = 573,429,658.02
  5. Step 5: Solve for x
    x = 573,429,658.02/19,983.40
  6. Step 6: Final answer
    x = 28,695.30

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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.