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Finding the Fourth Proportional to 16,490.40, 24,738 and 4,802.08

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Solution

The fourth proportional to 16,490.40, 24,738 and 4,802.08 is: 7,203.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,490.40 : 24,738 = 4,802.08 : x
  2. Step 2: Convert to fraction form
    16,490.40/24,738 = 4,802.08/x
  3. Step 3: Cross multiply
    16,490.40x = 24,738 × 4,802.08
  4. Step 4: Simplify right side
    16,490.40x = 118,793,855.04
  5. Step 5: Solve for x
    x = 118,793,855.04/16,490.40
  6. Step 6: Final answer
    x = 7,203.82

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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.