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Finding the Fourth Proportional to 31,005.54, 42,773.94 and 18,423

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Solution

The fourth proportional to 31,005.54, 42,773.94 and 18,423 is: 25,415.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,005.54 : 42,773.94 = 18,423 : x
  2. Step 2: Convert to fraction form
    31,005.54/42,773.94 = 18,423/x
  3. Step 3: Cross multiply
    31,005.54x = 42,773.94 × 18,423
  4. Step 4: Simplify right side
    31,005.54x = 788,024,296.62
  5. Step 5: Solve for x
    x = 788,024,296.62/31,005.54
  6. Step 6: Final answer
    x = 25,415.60

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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.