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Finding the Fourth Proportional to 23,045.34, 31,802.05 and 12,836.31

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Solution

The fourth proportional to 23,045.34, 31,802.05 and 12,836.31 is: 17,713.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,045.34 : 31,802.05 = 12,836.31 : x
  2. Step 2: Convert to fraction form
    23,045.34/31,802.05 = 12,836.31/x
  3. Step 3: Cross multiply
    23,045.34x = 31,802.05 × 12,836.31
  4. Step 4: Simplify right side
    23,045.34x = 408,220,869.22
  5. Step 5: Solve for x
    x = 408,220,869.22/23,045.34
  6. Step 6: Final answer
    x = 17,713.81

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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.