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Finding the Fourth Proportional to 16,898.18, 25,354.42 and 9,097.88

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Solution

The fourth proportional to 16,898.18, 25,354.42 and 9,097.88 is: 13,650.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,898.18 : 25,354.42 = 9,097.88 : x
  2. Step 2: Convert to fraction form
    16,898.18/25,354.42 = 9,097.88/x
  3. Step 3: Cross multiply
    16,898.18x = 25,354.42 × 9,097.88
  4. Step 4: Simplify right side
    16,898.18x = 230,671,470.63
  5. Step 5: Solve for x
    x = 230,671,470.63/16,898.18
  6. Step 6: Final answer
    x = 13,650.67

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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.