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Finding the Fourth Proportional to 16,297.32, 24,443.93 and 5,203.08

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Solution

The fourth proportional to 16,297.32, 24,443.93 and 5,203.08 is: 7,803.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.32 : 24,443.93 = 5,203.08 : x
  2. Step 2: Convert to fraction form
    16,297.32/24,443.93 = 5,203.08/x
  3. Step 3: Cross multiply
    16,297.32x = 24,443.93 × 5,203.08
  4. Step 4: Simplify right side
    16,297.32x = 127,183,697.29
  5. Step 5: Solve for x
    x = 127,183,697.29/16,297.32
  6. Step 6: Final answer
    x = 7,803.96

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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.