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Finding the Fourth Proportional to 14,393, 21,590.34 and 4,532.60

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Solution

The fourth proportional to 14,393, 21,590.34 and 4,532.60 is: 6,799.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,393 : 21,590.34 = 4,532.60 : x
  2. Step 2: Convert to fraction form
    14,393/21,590.34 = 4,532.60/x
  3. Step 3: Cross multiply
    14,393x = 21,590.34 × 4,532.60
  4. Step 4: Simplify right side
    14,393x = 97,860,375.08
  5. Step 5: Solve for x
    x = 97,860,375.08/14,393
  6. Step 6: Final answer
    x = 6,799.16

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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.