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Finding the Fourth Proportional to 16,477.19, 24,710.67 and 5,945.84

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Solution

The fourth proportional to 16,477.19, 24,710.67 and 5,945.84 is: 8,916.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477.19 : 24,710.67 = 5,945.84 : x
  2. Step 2: Convert to fraction form
    16,477.19/24,710.67 = 5,945.84/x
  3. Step 3: Cross multiply
    16,477.19x = 24,710.67 × 5,945.84
  4. Step 4: Simplify right side
    16,477.19x = 146,925,628.34
  5. Step 5: Solve for x
    x = 146,925,628.34/16,477.19
  6. Step 6: Final answer
    x = 8,916.91

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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.