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Finding the Fourth Proportional to 22,804.34, 31,461.33 and 13,848.46

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Solution

The fourth proportional to 22,804.34, 31,461.33 and 13,848.46 is: 19,105.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,804.34 : 31,461.33 = 13,848.46 : x
  2. Step 2: Convert to fraction form
    22,804.34/31,461.33 = 13,848.46/x
  3. Step 3: Cross multiply
    22,804.34x = 31,461.33 × 13,848.46
  4. Step 4: Simplify right side
    22,804.34x = 435,690,970.05
  5. Step 5: Solve for x
    x = 435,690,970.05/22,804.34
  6. Step 6: Final answer
    x = 19,105.62

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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.