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Finding the Fourth Proportional to 23,384.48, 32,269.02 and 12,774.08

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Solution

The fourth proportional to 23,384.48, 32,269.02 and 12,774.08 is: 17,627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,384.48 : 32,269.02 = 12,774.08 : x
  2. Step 2: Convert to fraction form
    23,384.48/32,269.02 = 12,774.08/x
  3. Step 3: Cross multiply
    23,384.48x = 32,269.02 × 12,774.08
  4. Step 4: Simplify right side
    23,384.48x = 412,207,043.00
  5. Step 5: Solve for x
    x = 412,207,043.00/23,384.48
  6. Step 6: Final answer
    x = 17,627.38

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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.