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Finding the Fourth Proportional to 19,850.40, 29,710.08 and 16,570.08

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Solution

The fourth proportional to 19,850.40, 29,710.08 and 16,570.08 is: 24,800.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,850.40 : 29,710.08 = 16,570.08 : x
  2. Step 2: Convert to fraction form
    19,850.40/29,710.08 = 16,570.08/x
  3. Step 3: Cross multiply
    19,850.40x = 29,710.08 × 16,570.08
  4. Step 4: Simplify right side
    19,850.40x = 492,298,402.41
  5. Step 5: Solve for x
    x = 492,298,402.41/19,850.40
  6. Step 6: Final answer
    x = 24,800.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.