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Finding the Fourth Proportional to 23,614.08, 35,417.02 and 8,823.12

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Solution

The fourth proportional to 23,614.08, 35,417.02 and 8,823.12 is: 13,233.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,614.08 : 35,417.02 = 8,823.12 : x
  2. Step 2: Convert to fraction form
    23,614.08/35,417.02 = 8,823.12/x
  3. Step 3: Cross multiply
    23,614.08x = 35,417.02 × 8,823.12
  4. Step 4: Simplify right side
    23,614.08x = 312,488,617.50
  5. Step 5: Solve for x
    x = 312,488,617.50/23,614.08
  6. Step 6: Final answer
    x = 13,233.15

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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.