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Finding the Fourth Proportional to 30,013.76, 41,369.59 and 21,285.34

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Solution

The fourth proportional to 30,013.76, 41,369.59 and 21,285.34 is: 29,338.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,013.76 : 41,369.59 = 21,285.34 : x
  2. Step 2: Convert to fraction form
    30,013.76/41,369.59 = 21,285.34/x
  3. Step 3: Cross multiply
    30,013.76x = 41,369.59 × 21,285.34
  4. Step 4: Simplify right side
    30,013.76x = 880,565,788.81
  5. Step 5: Solve for x
    x = 880,565,788.81/30,013.76
  6. Step 6: Final answer
    x = 29,338.74

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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.