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Finding the Fourth Proportional to 22,784.04, 31,442 and 12,712.20

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Solution

The fourth proportional to 22,784.04, 31,442 and 12,712.20 is: 17,542.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,784.04 : 31,442 = 12,712.20 : x
  2. Step 2: Convert to fraction form
    22,784.04/31,442 = 12,712.20/x
  3. Step 3: Cross multiply
    22,784.04x = 31,442 × 12,712.20
  4. Step 4: Simplify right side
    22,784.04x = 399,696,992.40
  5. Step 5: Solve for x
    x = 399,696,992.40/22,784.04
  6. Step 6: Final answer
    x = 17,542.85

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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.