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Finding the Fourth Proportional to 16,483.50, 24,717.86 and 9,823.14

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Solution

The fourth proportional to 16,483.50, 24,717.86 and 9,823.14 is: 14,730.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,483.50 : 24,717.86 = 9,823.14 : x
  2. Step 2: Convert to fraction form
    16,483.50/24,717.86 = 9,823.14/x
  3. Step 3: Cross multiply
    16,483.50x = 24,717.86 × 9,823.14
  4. Step 4: Simplify right side
    16,483.50x = 242,806,999.28
  5. Step 5: Solve for x
    x = 242,806,999.28/16,483.50
  6. Step 6: Final answer
    x = 14,730.31

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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.