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Finding the Fourth Proportional to 17,548.96, 24,217.14 and 9,590.98

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Solution

The fourth proportional to 17,548.96, 24,217.14 and 9,590.98 is: 13,235.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,548.96 : 24,217.14 = 9,590.98 : x
  2. Step 2: Convert to fraction form
    17,548.96/24,217.14 = 9,590.98/x
  3. Step 3: Cross multiply
    17,548.96x = 24,217.14 × 9,590.98
  4. Step 4: Simplify right side
    17,548.96x = 232,266,105.40
  5. Step 5: Solve for x
    x = 232,266,105.40/17,548.96
  6. Step 6: Final answer
    x = 13,235.32

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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.