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Finding the Fourth Proportional to 23,898.28, 35,838.90 and 9,857.72

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Solution

The fourth proportional to 23,898.28, 35,838.90 and 9,857.72 is: 14,783.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,898.28 : 35,838.90 = 9,857.72 : x
  2. Step 2: Convert to fraction form
    23,898.28/35,838.90 = 9,857.72/x
  3. Step 3: Cross multiply
    23,898.28x = 35,838.90 × 9,857.72
  4. Step 4: Simplify right side
    23,898.28x = 353,289,841.31
  5. Step 5: Solve for x
    x = 353,289,841.31/23,898.28
  6. Step 6: Final answer
    x = 14,783.07

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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.