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Finding the Fourth Proportional to 22,521.94, 31,077.10 and 12,958.19

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Solution

The fourth proportional to 22,521.94, 31,077.10 and 12,958.19 is: 17,880.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,521.94 : 31,077.10 = 12,958.19 : x
  2. Step 2: Convert to fraction form
    22,521.94/31,077.10 = 12,958.19/x
  3. Step 3: Cross multiply
    22,521.94x = 31,077.10 × 12,958.19
  4. Step 4: Simplify right side
    22,521.94x = 402,703,011.75
  5. Step 5: Solve for x
    x = 402,703,011.75/22,521.94
  6. Step 6: Final answer
    x = 17,880.48

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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.