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Finding the Fourth Proportional to 16,153.86, 24,224.64 and 7,382.63

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Solution

The fourth proportional to 16,153.86, 24,224.64 and 7,382.63 is: 11,071.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,153.86 : 24,224.64 = 7,382.63 : x
  2. Step 2: Convert to fraction form
    16,153.86/24,224.64 = 7,382.63/x
  3. Step 3: Cross multiply
    16,153.86x = 24,224.64 × 7,382.63
  4. Step 4: Simplify right side
    16,153.86x = 178,841,432.88
  5. Step 5: Solve for x
    x = 178,841,432.88/16,153.86
  6. Step 6: Final answer
    x = 11,071.13

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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.