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Finding the Fourth Proportional to 10,829.70, 16,276.95 and 9,404.10

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Solution

The fourth proportional to 10,829.70, 16,276.95 and 9,404.10 is: 14,134.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829.70 : 16,276.95 = 9,404.10 : x
  2. Step 2: Convert to fraction form
    10,829.70/16,276.95 = 9,404.10/x
  3. Step 3: Cross multiply
    10,829.70x = 16,276.95 × 9,404.10
  4. Step 4: Simplify right side
    10,829.70x = 153,070,065.50
  5. Step 5: Solve for x
    x = 153,070,065.50/10,829.70
  6. Step 6: Final answer
    x = 14,134.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.