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Finding the Fourth Proportional to 24,954.32, 37,420.40 and 9,361

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Solution

The fourth proportional to 24,954.32, 37,420.40 and 9,361 is: 14,037.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,954.32 : 37,420.40 = 9,361 : x
  2. Step 2: Convert to fraction form
    24,954.32/37,420.40 = 9,361/x
  3. Step 3: Cross multiply
    24,954.32x = 37,420.40 × 9,361
  4. Step 4: Simplify right side
    24,954.32x = 350,292,364.40
  5. Step 5: Solve for x
    x = 350,292,364.40/24,954.32
  6. Step 6: Final answer
    x = 14,037.34

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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.