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Finding the Fourth Proportional to 16,303.36, 24,437.38 and 7,989

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Solution

The fourth proportional to 16,303.36, 24,437.38 and 7,989 is: 11,974.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,303.36 : 24,437.38 = 7,989 : x
  2. Step 2: Convert to fraction form
    16,303.36/24,437.38 = 7,989/x
  3. Step 3: Cross multiply
    16,303.36x = 24,437.38 × 7,989
  4. Step 4: Simplify right side
    16,303.36x = 195,230,228.82
  5. Step 5: Solve for x
    x = 195,230,228.82/16,303.36
  6. Step 6: Final answer
    x = 11,974.85

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1.5x scale

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.