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Finding the Fourth Proportional to 14,970.12, 20,658.48 and 8,164.22

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Solution

The fourth proportional to 14,970.12, 20,658.48 and 8,164.22 is: 11,266.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,970.12 : 20,658.48 = 8,164.22 : x
  2. Step 2: Convert to fraction form
    14,970.12/20,658.48 = 8,164.22/x
  3. Step 3: Cross multiply
    14,970.12x = 20,658.48 × 8,164.22
  4. Step 4: Simplify right side
    14,970.12x = 168,660,334.22
  5. Step 5: Solve for x
    x = 168,660,334.22/14,970.12
  6. Step 6: Final answer
    x = 11,266.47

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