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Finding the Fourth Proportional to 14,578.08, 20,117.12 and 8,290.40

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Solution

The fourth proportional to 14,578.08, 20,117.12 and 8,290.40 is: 11,440.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,578.08 : 20,117.12 = 8,290.40 : x
  2. Step 2: Convert to fraction form
    14,578.08/20,117.12 = 8,290.40/x
  3. Step 3: Cross multiply
    14,578.08x = 20,117.12 × 8,290.40
  4. Step 4: Simplify right side
    14,578.08x = 166,778,971.65
  5. Step 5: Solve for x
    x = 166,778,971.65/14,578.08
  6. Step 6: Final answer
    x = 11,440.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.