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Finding the Fourth Proportional to 24,672, 34,047.90 and 13,494

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Solution

The fourth proportional to 24,672, 34,047.90 and 13,494 is: 18,622.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,672 : 34,047.90 = 13,494 : x
  2. Step 2: Convert to fraction form
    24,672/34,047.90 = 13,494/x
  3. Step 3: Cross multiply
    24,672x = 34,047.90 × 13,494
  4. Step 4: Simplify right side
    24,672x = 459,442,362.60
  5. Step 5: Solve for x
    x = 459,442,362.60/24,672
  6. Step 6: Final answer
    x = 18,622.02

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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.