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Finding the Fourth Proportional to 28,078.84, 42,111.06 and 13,283.80

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Solution

The fourth proportional to 28,078.84, 42,111.06 and 13,283.80 is: 19,922.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,078.84 : 42,111.06 = 13,283.80 : x
  2. Step 2: Convert to fraction form
    28,078.84/42,111.06 = 13,283.80/x
  3. Step 3: Cross multiply
    28,078.84x = 42,111.06 × 13,283.80
  4. Step 4: Simplify right side
    28,078.84x = 559,394,898.83
  5. Step 5: Solve for x
    x = 559,394,898.83/28,078.84
  6. Step 6: Final answer
    x = 19,922.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.