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Finding the Fourth Proportional to 22,730.94, 31,368.70 and 12,661.32

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Solution

The fourth proportional to 22,730.94, 31,368.70 and 12,661.32 is: 17,472.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,730.94 : 31,368.70 = 12,661.32 : x
  2. Step 2: Convert to fraction form
    22,730.94/31,368.70 = 12,661.32/x
  3. Step 3: Cross multiply
    22,730.94x = 31,368.70 × 12,661.32
  4. Step 4: Simplify right side
    22,730.94x = 397,169,148.68
  5. Step 5: Solve for x
    x = 397,169,148.68/22,730.94
  6. Step 6: Final answer
    x = 17,472.62

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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.