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Finding the Fourth Proportional to 16,428.81, 24,643.53 and 5,335.50

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Solution

The fourth proportional to 16,428.81, 24,643.53 and 5,335.50 is: 8,003.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,428.81 : 24,643.53 = 5,335.50 : x
  2. Step 2: Convert to fraction form
    16,428.81/24,643.53 = 5,335.50/x
  3. Step 3: Cross multiply
    16,428.81x = 24,643.53 × 5,335.50
  4. Step 4: Simplify right side
    16,428.81x = 131,485,554.32
  5. Step 5: Solve for x
    x = 131,485,554.32/16,428.81
  6. Step 6: Final answer
    x = 8,003.35

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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.