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Finding the Fourth Proportional to 23,300, 32,155.28 and 13,364.64

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Solution

The fourth proportional to 23,300, 32,155.28 and 13,364.64 is: 18,443.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,300 : 32,155.28 = 13,364.64 : x
  2. Step 2: Convert to fraction form
    23,300/32,155.28 = 13,364.64/x
  3. Step 3: Cross multiply
    23,300x = 32,155.28 × 13,364.64
  4. Step 4: Simplify right side
    23,300x = 429,743,741.30
  5. Step 5: Solve for x
    x = 429,743,741.30/23,300
  6. Step 6: Final answer
    x = 18,443.94

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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.