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Finding the Fourth Proportional to 16,076.16, 24,111.72 and 9,834

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Solution

The fourth proportional to 16,076.16, 24,111.72 and 9,834 is: 14,749.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,076.16 : 24,111.72 = 9,834 : x
  2. Step 2: Convert to fraction form
    16,076.16/24,111.72 = 9,834/x
  3. Step 3: Cross multiply
    16,076.16x = 24,111.72 × 9,834
  4. Step 4: Simplify right side
    16,076.16x = 237,114,654.48
  5. Step 5: Solve for x
    x = 237,114,654.48/16,076.16
  6. Step 6: Final answer
    x = 14,749.46

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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.