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Finding the Fourth Proportional to 14,967.64, 22,435.80 and 5,103.46

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Solution

The fourth proportional to 14,967.64, 22,435.80 and 5,103.46 is: 7,649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,967.64 : 22,435.80 = 5,103.46 : x
  2. Step 2: Convert to fraction form
    14,967.64/22,435.80 = 5,103.46/x
  3. Step 3: Cross multiply
    14,967.64x = 22,435.80 × 5,103.46
  4. Step 4: Simplify right side
    14,967.64x = 114,500,207.87
  5. Step 5: Solve for x
    x = 114,500,207.87/14,967.64
  6. Step 6: Final answer
    x = 7,649.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.