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Finding the Fourth Proportional to 17,658.96, 24,369.84 and 9,702.06

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Solution

The fourth proportional to 17,658.96, 24,369.84 and 9,702.06 is: 13,389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658.96 : 24,369.84 = 9,702.06 : x
  2. Step 2: Convert to fraction form
    17,658.96/24,369.84 = 9,702.06/x
  3. Step 3: Cross multiply
    17,658.96x = 24,369.84 × 9,702.06
  4. Step 4: Simplify right side
    17,658.96x = 236,437,649.87
  5. Step 5: Solve for x
    x = 236,437,649.87/17,658.96
  6. Step 6: Final answer
    x = 13,389.10

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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.