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Finding the Fourth Proportional to 16,153.98, 24,237.98 and 6,289.82

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Solution

The fourth proportional to 16,153.98, 24,237.98 and 6,289.82 is: 9,437.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,153.98 : 24,237.98 = 6,289.82 : x
  2. Step 2: Convert to fraction form
    16,153.98/24,237.98 = 6,289.82/x
  3. Step 3: Cross multiply
    16,153.98x = 24,237.98 × 6,289.82
  4. Step 4: Simplify right side
    16,153.98x = 152,452,531.36
  5. Step 5: Solve for x
    x = 152,452,531.36/16,153.98
  6. Step 6: Final answer
    x = 9,437.46

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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.