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Finding the Fourth Proportional to 19,334.40, 29,023.20 and 14,971.20

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Solution

The fourth proportional to 19,334.40, 29,023.20 and 14,971.20 is: 22,473.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,334.40 : 29,023.20 = 14,971.20 : x
  2. Step 2: Convert to fraction form
    19,334.40/29,023.20 = 14,971.20/x
  3. Step 3: Cross multiply
    19,334.40x = 29,023.20 × 14,971.20
  4. Step 4: Simplify right side
    19,334.40x = 434,512,131.84
  5. Step 5: Solve for x
    x = 434,512,131.84/19,334.40
  6. Step 6: Final answer
    x = 22,473.53

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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.