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Finding the Fourth Proportional to 25,336.64, 34,962.60 and 14,006

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Solution

The fourth proportional to 25,336.64, 34,962.60 and 14,006 is: 19,327.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,336.64 : 34,962.60 = 14,006 : x
  2. Step 2: Convert to fraction form
    25,336.64/34,962.60 = 14,006/x
  3. Step 3: Cross multiply
    25,336.64x = 34,962.60 × 14,006
  4. Step 4: Simplify right side
    25,336.64x = 489,686,175.60
  5. Step 5: Solve for x
    x = 489,686,175.60/25,336.64
  6. Step 6: Final answer
    x = 19,327.19

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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.