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Finding the Fourth Proportional to 28,196.34, 42,305.58 and 11,564.34

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Solution

The fourth proportional to 28,196.34, 42,305.58 and 11,564.34 is: 17,351.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,196.34 : 42,305.58 = 11,564.34 : x
  2. Step 2: Convert to fraction form
    28,196.34/42,305.58 = 11,564.34/x
  3. Step 3: Cross multiply
    28,196.34x = 42,305.58 × 11,564.34
  4. Step 4: Simplify right side
    28,196.34x = 489,236,111.02
  5. Step 5: Solve for x
    x = 489,236,111.02/28,196.34
  6. Step 6: Final answer
    x = 17,351.05

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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.