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Finding the Fourth Proportional to 17,700, 26,548.16 and 11,106.64

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Solution

The fourth proportional to 17,700, 26,548.16 and 11,106.64 is: 16,658.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,700 : 26,548.16 = 11,106.64 : x
  2. Step 2: Convert to fraction form
    17,700/26,548.16 = 11,106.64/x
  3. Step 3: Cross multiply
    17,700x = 26,548.16 × 11,106.64
  4. Step 4: Simplify right side
    17,700x = 294,860,855.78
  5. Step 5: Solve for x
    x = 294,860,855.78/17,700
  6. Step 6: Final answer
    x = 16,658.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.