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Finding the Fourth Proportional to 16,575.30, 22,858.20 and 12,792.40

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Solution

The fourth proportional to 16,575.30, 22,858.20 and 12,792.40 is: 17,641.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,575.30 : 22,858.20 = 12,792.40 : x
  2. Step 2: Convert to fraction form
    16,575.30/22,858.20 = 12,792.40/x
  3. Step 3: Cross multiply
    16,575.30x = 22,858.20 × 12,792.40
  4. Step 4: Simplify right side
    16,575.30x = 292,411,180.53
  5. Step 5: Solve for x
    x = 292,411,180.53/16,575.30
  6. Step 6: Final answer
    x = 17,641.38

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Why These Related Problems?

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