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Finding the Fourth Proportional to 14,753.90, 22,134.94 and 6,434.64

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Solution

The fourth proportional to 14,753.90, 22,134.94 and 6,434.64 is: 9,653.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,753.90 : 22,134.94 = 6,434.64 : x
  2. Step 2: Convert to fraction form
    14,753.90/22,134.94 = 6,434.64/x
  3. Step 3: Cross multiply
    14,753.90x = 22,134.94 × 6,434.64
  4. Step 4: Simplify right side
    14,753.90x = 142,430,370.32
  5. Step 5: Solve for x
    x = 142,430,370.32/14,753.90
  6. Step 6: Final answer
    x = 9,653.74

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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.