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Finding the Fourth Proportional to 16,328.50, 22,533.36 and 9,255.58

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Solution

The fourth proportional to 16,328.50, 22,533.36 and 9,255.58 is: 12,772.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,328.50 : 22,533.36 = 9,255.58 : x
  2. Step 2: Convert to fraction form
    16,328.50/22,533.36 = 9,255.58/x
  3. Step 3: Cross multiply
    16,328.50x = 22,533.36 × 9,255.58
  4. Step 4: Simplify right side
    16,328.50x = 208,559,316.15
  5. Step 5: Solve for x
    x = 208,559,316.15/16,328.50
  6. Step 6: Final answer
    x = 12,772.72

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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.