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Finding the Fourth Proportional to 14,978.51, 22,467.77 and 5,117.88

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Solution

The fourth proportional to 14,978.51, 22,467.77 and 5,117.88 is: 7,676.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.51 : 22,467.77 = 5,117.88 : x
  2. Step 2: Convert to fraction form
    14,978.51/22,467.77 = 5,117.88/x
  3. Step 3: Cross multiply
    14,978.51x = 22,467.77 × 5,117.88
  4. Step 4: Simplify right side
    14,978.51x = 114,987,325.14
  5. Step 5: Solve for x
    x = 114,987,325.14/14,978.51
  6. Step 6: Final answer
    x = 7,676.82

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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.