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Finding the Fourth Proportional to 28,953.28, 39,956.70 and 16,378

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Solution

The fourth proportional to 28,953.28, 39,956.70 and 16,378 is: 22,602.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,953.28 : 39,956.70 = 16,378 : x
  2. Step 2: Convert to fraction form
    28,953.28/39,956.70 = 16,378/x
  3. Step 3: Cross multiply
    28,953.28x = 39,956.70 × 16,378
  4. Step 4: Simplify right side
    28,953.28x = 654,410,832.60
  5. Step 5: Solve for x
    x = 654,410,832.60/28,953.28
  6. Step 6: Final answer
    x = 22,602.30

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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.