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Finding the Fourth Proportional to 15,462, 23,196.96 and 5,073.84

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Solution

The fourth proportional to 15,462, 23,196.96 and 5,073.84 is: 7,612.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,462 : 23,196.96 = 5,073.84 : x
  2. Step 2: Convert to fraction form
    15,462/23,196.96 = 5,073.84/x
  3. Step 3: Cross multiply
    15,462x = 23,196.96 × 5,073.84
  4. Step 4: Simplify right side
    15,462x = 117,697,663.53
  5. Step 5: Solve for x
    x = 117,697,663.53/15,462
  6. Step 6: Final answer
    x = 7,612.06

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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.