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Finding the Fourth Proportional to 16,483.76, 24,718.24 and 9,823.40

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Solution

The fourth proportional to 16,483.76, 24,718.24 and 9,823.40 is: 14,730.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,483.76 : 24,718.24 = 9,823.40 : x
  2. Step 2: Convert to fraction form
    16,483.76/24,718.24 = 9,823.40/x
  3. Step 3: Cross multiply
    16,483.76x = 24,718.24 × 9,823.40
  4. Step 4: Simplify right side
    16,483.76x = 242,817,035.22
  5. Step 5: Solve for x
    x = 242,817,035.22/16,483.76
  6. Step 6: Final answer
    x = 14,730.69

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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.