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Finding the Fourth Proportional to 22,955.24, 31,678.62 and 12,746

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Solution

The fourth proportional to 22,955.24, 31,678.62 and 12,746 is: 17,589.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,955.24 : 31,678.62 = 12,746 : x
  2. Step 2: Convert to fraction form
    22,955.24/31,678.62 = 12,746/x
  3. Step 3: Cross multiply
    22,955.24x = 31,678.62 × 12,746
  4. Step 4: Simplify right side
    22,955.24x = 403,775,690.52
  5. Step 5: Solve for x
    x = 403,775,690.52/22,955.24
  6. Step 6: Final answer
    x = 17,589.70

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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.