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Finding the Fourth Proportional to 19,837.46, 29,730.02 and 9,305.84

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Solution

The fourth proportional to 19,837.46, 29,730.02 and 9,305.84 is: 13,946.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,837.46 : 29,730.02 = 9,305.84 : x
  2. Step 2: Convert to fraction form
    19,837.46/29,730.02 = 9,305.84/x
  3. Step 3: Cross multiply
    19,837.46x = 29,730.02 × 9,305.84
  4. Step 4: Simplify right side
    19,837.46x = 276,662,809.32
  5. Step 5: Solve for x
    x = 276,662,809.32/19,837.46
  6. Step 6: Final answer
    x = 13,946.48

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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.