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Finding the Fourth Proportional to 16,494.10, 22,764.91 and 9,420.52

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Solution

The fourth proportional to 16,494.10, 22,764.91 and 9,420.52 is: 13,002.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.10 : 22,764.91 = 9,420.52 : x
  2. Step 2: Convert to fraction form
    16,494.10/22,764.91 = 9,420.52/x
  3. Step 3: Cross multiply
    16,494.10x = 22,764.91 × 9,420.52
  4. Step 4: Simplify right side
    16,494.10x = 214,457,307.37
  5. Step 5: Solve for x
    x = 214,457,307.37/16,494.10
  6. Step 6: Final answer
    x = 13,002.06

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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.