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Finding the Fourth Proportional to 23,505.76, 32,432.88 and 13,564

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Solution

The fourth proportional to 23,505.76, 32,432.88 and 13,564 is: 18,715.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,505.76 : 32,432.88 = 13,564 : x
  2. Step 2: Convert to fraction form
    23,505.76/32,432.88 = 13,564/x
  3. Step 3: Cross multiply
    23,505.76x = 32,432.88 × 13,564
  4. Step 4: Simplify right side
    23,505.76x = 439,919,584.32
  5. Step 5: Solve for x
    x = 439,919,584.32/23,505.76
  6. Step 6: Final answer
    x = 18,715.40

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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.