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Finding the Fourth Proportional to 24,751.50, 34,143.10 and 14,670.04

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Solution

The fourth proportional to 24,751.50, 34,143.10 and 14,670.04 is: 20,236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,751.50 : 34,143.10 = 14,670.04 : x
  2. Step 2: Convert to fraction form
    24,751.50/34,143.10 = 14,670.04/x
  3. Step 3: Cross multiply
    24,751.50x = 34,143.10 × 14,670.04
  4. Step 4: Simplify right side
    24,751.50x = 500,880,642.72
  5. Step 5: Solve for x
    x = 500,880,642.72/24,751.50
  6. Step 6: Final answer
    x = 20,236.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.