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Finding the Fourth Proportional to 17,913.34, 24,707 and 10,830.70

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Solution

The fourth proportional to 17,913.34, 24,707 and 10,830.70 is: 14,938.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,913.34 : 24,707 = 10,830.70 : x
  2. Step 2: Convert to fraction form
    17,913.34/24,707 = 10,830.70/x
  3. Step 3: Cross multiply
    17,913.34x = 24,707 × 10,830.70
  4. Step 4: Simplify right side
    17,913.34x = 267,594,104.90
  5. Step 5: Solve for x
    x = 267,594,104.90/17,913.34
  6. Step 6: Final answer
    x = 14,938.26

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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.