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Finding the Fourth Proportional to 19,782.20, 29,746.20 and 16,574.60

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Solution

The fourth proportional to 19,782.20, 29,746.20 and 16,574.60 is: 24,922.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.20 : 29,746.20 = 16,574.60 : x
  2. Step 2: Convert to fraction form
    19,782.20/29,746.20 = 16,574.60/x
  3. Step 3: Cross multiply
    19,782.20x = 29,746.20 × 16,574.60
  4. Step 4: Simplify right side
    19,782.20x = 493,031,366.52
  5. Step 5: Solve for x
    x = 493,031,366.52/19,782.20
  6. Step 6: Final answer
    x = 24,922.98

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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.