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Finding the Fourth Proportional to 16,364.08, 24,526.68 and 9,424

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Solution

The fourth proportional to 16,364.08, 24,526.68 and 9,424 is: 14,124.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,364.08 : 24,526.68 = 9,424 : x
  2. Step 2: Convert to fraction form
    16,364.08/24,526.68 = 9,424/x
  3. Step 3: Cross multiply
    16,364.08x = 24,526.68 × 9,424
  4. Step 4: Simplify right side
    16,364.08x = 231,139,432.32
  5. Step 5: Solve for x
    x = 231,139,432.32/16,364.08
  6. Step 6: Final answer
    x = 14,124.80

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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.