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Finding the Fourth Proportional to 23,572.72, 32,530.54 and 12,817.60

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Solution

The fourth proportional to 23,572.72, 32,530.54 and 12,817.60 is: 17,688.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,572.72 : 32,530.54 = 12,817.60 : x
  2. Step 2: Convert to fraction form
    23,572.72/32,530.54 = 12,817.60/x
  3. Step 3: Cross multiply
    23,572.72x = 32,530.54 × 12,817.60
  4. Step 4: Simplify right side
    23,572.72x = 416,963,449.50
  5. Step 5: Solve for x
    x = 416,963,449.50/23,572.72
  6. Step 6: Final answer
    x = 17,688.39

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Why These Related Problems?

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