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Finding the Fourth Proportional to 16,476.69, 24,709.92 and 5,945.34

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Solution

The fourth proportional to 16,476.69, 24,709.92 and 5,945.34 is: 8,916.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,476.69 : 24,709.92 = 5,945.34 : x
  2. Step 2: Convert to fraction form
    16,476.69/24,709.92 = 5,945.34/x
  3. Step 3: Cross multiply
    16,476.69x = 24,709.92 × 5,945.34
  4. Step 4: Simplify right side
    16,476.69x = 146,908,875.77
  5. Step 5: Solve for x
    x = 146,908,875.77/16,476.69
  6. Step 6: Final answer
    x = 8,916.16

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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.