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Finding the Fourth Proportional to 23,898.51, 35,847.63 and 8,316

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Solution

The fourth proportional to 23,898.51, 35,847.63 and 8,316 is: 12,473.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,898.51 : 35,847.63 = 8,316 : x
  2. Step 2: Convert to fraction form
    23,898.51/35,847.63 = 8,316/x
  3. Step 3: Cross multiply
    23,898.51x = 35,847.63 × 8,316
  4. Step 4: Simplify right side
    23,898.51x = 298,108,891.08
  5. Step 5: Solve for x
    x = 298,108,891.08/23,898.51
  6. Step 6: Final answer
    x = 12,473.95

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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.