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Finding the Fourth Proportional to 17,455.91, 24,089.12 and 9,497.96

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Solution

The fourth proportional to 17,455.91, 24,089.12 and 9,497.96 is: 13,107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,455.91 : 24,089.12 = 9,497.96 : x
  2. Step 2: Convert to fraction form
    17,455.91/24,089.12 = 9,497.96/x
  3. Step 3: Cross multiply
    17,455.91x = 24,089.12 × 9,497.96
  4. Step 4: Simplify right side
    17,455.91x = 228,797,482.92
  5. Step 5: Solve for x
    x = 228,797,482.92/17,455.91
  6. Step 6: Final answer
    x = 13,107.17

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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.