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Finding the Fourth Proportional to 17,657.99, 24,368 and 9,699.94

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Solution

The fourth proportional to 17,657.99, 24,368 and 9,699.94 is: 13,385.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.99 : 24,368 = 9,699.94 : x
  2. Step 2: Convert to fraction form
    17,657.99/24,368 = 9,699.94/x
  3. Step 3: Cross multiply
    17,657.99x = 24,368 × 9,699.94
  4. Step 4: Simplify right side
    17,657.99x = 236,368,137.92
  5. Step 5: Solve for x
    x = 236,368,137.92/17,657.99
  6. Step 6: Final answer
    x = 13,385.90

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1.5x scale

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.