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Finding the Fourth Proportional to 13,897.40, 20,829.90 and 5,573.30

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Solution

The fourth proportional to 13,897.40, 20,829.90 and 5,573.30 is: 8,353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.40 : 20,829.90 = 5,573.30 : x
  2. Step 2: Convert to fraction form
    13,897.40/20,829.90 = 5,573.30/x
  3. Step 3: Cross multiply
    13,897.40x = 20,829.90 × 5,573.30
  4. Step 4: Simplify right side
    13,897.40x = 116,091,281.67
  5. Step 5: Solve for x
    x = 116,091,281.67/13,897.40
  6. Step 6: Final answer
    x = 8,353.45

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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.