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Finding the Fourth Proportional to 22,930, 31,643.88 and 12,994

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Solution

The fourth proportional to 22,930, 31,643.88 and 12,994 is: 17,931.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,930 : 31,643.88 = 12,994 : x
  2. Step 2: Convert to fraction form
    22,930/31,643.88 = 12,994/x
  3. Step 3: Cross multiply
    22,930x = 31,643.88 × 12,994
  4. Step 4: Simplify right side
    22,930x = 411,180,576.72
  5. Step 5: Solve for x
    x = 411,180,576.72/22,930
  6. Step 6: Final answer
    x = 17,931.99

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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.