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Finding the Fourth Proportional to 17,700, 24,426 and 10,248

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Solution

The fourth proportional to 17,700, 24,426 and 10,248 is: 14,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,700 : 24,426 = 10,248 : x
  2. Step 2: Convert to fraction form
    17,700/24,426 = 10,248/x
  3. Step 3: Cross multiply
    17,700x = 24,426 × 10,248
  4. Step 4: Simplify right side
    17,700x = 250,317,648
  5. Step 5: Solve for x
    x = 250,317,648/17,700
  6. Step 6: Final answer
    x = 14,142.24

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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.