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Finding the Fourth Proportional to 24,776.16, 37,166.16 and 6,308

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Solution

The fourth proportional to 24,776.16, 37,166.16 and 6,308 is: 9,462.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,776.16 : 37,166.16 = 6,308 : x
  2. Step 2: Convert to fraction form
    24,776.16/37,166.16 = 6,308/x
  3. Step 3: Cross multiply
    24,776.16x = 37,166.16 × 6,308
  4. Step 4: Simplify right side
    24,776.16x = 234,444,137.28
  5. Step 5: Solve for x
    x = 234,444,137.28/24,776.16
  6. Step 6: Final answer
    x = 9,462.49

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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.