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Finding the Fourth Proportional to 19,970.64, 29,915.64 and 18,337.68

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Solution

The fourth proportional to 19,970.64, 29,915.64 and 18,337.68 is: 27,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,970.64 : 29,915.64 = 18,337.68 : x
  2. Step 2: Convert to fraction form
    19,970.64/29,915.64 = 18,337.68/x
  3. Step 3: Cross multiply
    19,970.64x = 29,915.64 × 18,337.68
  4. Step 4: Simplify right side
    19,970.64x = 548,583,433.32
  5. Step 5: Solve for x
    x = 548,583,433.32/19,970.64
  6. Step 6: Final answer
    x = 27,469.50

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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.