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Finding the Fourth Proportional to 16,206, 24,316.32 and 9,280.50

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Solution

The fourth proportional to 16,206, 24,316.32 and 9,280.50 is: 13,924.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206 : 24,316.32 = 9,280.50 : x
  2. Step 2: Convert to fraction form
    16,206/24,316.32 = 9,280.50/x
  3. Step 3: Cross multiply
    16,206x = 24,316.32 × 9,280.50
  4. Step 4: Simplify right side
    16,206x = 225,667,607.76
  5. Step 5: Solve for x
    x = 225,667,607.76/16,206
  6. Step 6: Final answer
    x = 13,924.94

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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.