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Finding the Fourth Proportional to 17,898.96, 24,702.50 and 10,829.28

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Solution

The fourth proportional to 17,898.96, 24,702.50 and 10,829.28 is: 14,945.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,898.96 : 24,702.50 = 10,829.28 : x
  2. Step 2: Convert to fraction form
    17,898.96/24,702.50 = 10,829.28/x
  3. Step 3: Cross multiply
    17,898.96x = 24,702.50 × 10,829.28
  4. Step 4: Simplify right side
    17,898.96x = 267,510,289.20
  5. Step 5: Solve for x
    x = 267,510,289.20/17,898.96
  6. Step 6: Final answer
    x = 14,945.58

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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.