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Finding the Fourth Proportional to 29,282.37, 40,409.64 and 15,853.74

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Solution

The fourth proportional to 29,282.37, 40,409.64 and 15,853.74 is: 21,878.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,282.37 : 40,409.64 = 15,853.74 : x
  2. Step 2: Convert to fraction form
    29,282.37/40,409.64 = 15,853.74/x
  3. Step 3: Cross multiply
    29,282.37x = 40,409.64 × 15,853.74
  4. Step 4: Simplify right side
    29,282.37x = 640,643,926.05
  5. Step 5: Solve for x
    x = 640,643,926.05/29,282.37
  6. Step 6: Final answer
    x = 21,878.14

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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.