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Finding the Fourth Proportional to 34,588, 51,872.55 and 12,397.24

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Solution

The fourth proportional to 34,588, 51,872.55 and 12,397.24 is: 18,592.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,588 : 51,872.55 = 12,397.24 : x
  2. Step 2: Convert to fraction form
    34,588/51,872.55 = 12,397.24/x
  3. Step 3: Cross multiply
    34,588x = 51,872.55 × 12,397.24
  4. Step 4: Simplify right side
    34,588x = 643,076,451.76
  5. Step 5: Solve for x
    x = 643,076,451.76/34,588
  6. Step 6: Final answer
    x = 18,592.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.