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Finding the Fourth Proportional to 17,000.46, 23,458.93 and 9,931

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Solution

The fourth proportional to 17,000.46, 23,458.93 and 9,931 is: 13,703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,000.46 : 23,458.93 = 9,931 : x
  2. Step 2: Convert to fraction form
    17,000.46/23,458.93 = 9,931/x
  3. Step 3: Cross multiply
    17,000.46x = 23,458.93 × 9,931
  4. Step 4: Simplify right side
    17,000.46x = 232,970,633.83
  5. Step 5: Solve for x
    x = 232,970,633.83/17,000.46
  6. Step 6: Final answer
    x = 13,703.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.