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Finding the Fourth Proportional to 35,895, 53,870.46 and 13,724.10

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Solution

The fourth proportional to 35,895, 53,870.46 and 13,724.10 is: 20,596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,895 : 53,870.46 = 13,724.10 : x
  2. Step 2: Convert to fraction form
    35,895/53,870.46 = 13,724.10/x
  3. Step 3: Cross multiply
    35,895x = 53,870.46 × 13,724.10
  4. Step 4: Simplify right side
    35,895x = 739,323,580.09
  5. Step 5: Solve for x
    x = 739,323,580.09/35,895
  6. Step 6: Final answer
    x = 20,596.84

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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.