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Finding the Fourth Proportional to 15,460, 23,193.84 and 4,516

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Solution

The fourth proportional to 15,460, 23,193.84 and 4,516 is: 6,775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,460 : 23,193.84 = 4,516 : x
  2. Step 2: Convert to fraction form
    15,460/23,193.84 = 4,516/x
  3. Step 3: Cross multiply
    15,460x = 23,193.84 × 4,516
  4. Step 4: Simplify right side
    15,460x = 104,743,381.44
  5. Step 5: Solve for x
    x = 104,743,381.44/15,460
  6. Step 6: Final answer
    x = 6,775.12

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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.