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Finding the Fourth Proportional to 16,042.19, 24,065.87 and 4,946.28

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Solution

The fourth proportional to 16,042.19, 24,065.87 and 4,946.28 is: 7,420.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,042.19 : 24,065.87 = 4,946.28 : x
  2. Step 2: Convert to fraction form
    16,042.19/24,065.87 = 4,946.28/x
  3. Step 3: Cross multiply
    16,042.19x = 24,065.87 × 4,946.28
  4. Step 4: Simplify right side
    16,042.19x = 119,036,506.73
  5. Step 5: Solve for x
    x = 119,036,506.73/16,042.19
  6. Step 6: Final answer
    x = 7,420.22

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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.