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Finding the Fourth Proportional to 38,735.44, 58,097.69 and 12,436.77

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Solution

The fourth proportional to 38,735.44, 58,097.69 and 12,436.77 is: 18,653.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,735.44 : 58,097.69 = 12,436.77 : x
  2. Step 2: Convert to fraction form
    38,735.44/58,097.69 = 12,436.77/x
  3. Step 3: Cross multiply
    38,735.44x = 58,097.69 × 12,436.77
  4. Step 4: Simplify right side
    38,735.44x = 722,547,372.65
  5. Step 5: Solve for x
    x = 722,547,372.65/38,735.44
  6. Step 6: Final answer
    x = 18,653.39

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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.