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Finding the Fourth Proportional to 25,984.68, 38,977.56 and 9,968.55

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Solution

The fourth proportional to 25,984.68, 38,977.56 and 9,968.55 is: 14,953.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,984.68 : 38,977.56 = 9,968.55 : x
  2. Step 2: Convert to fraction form
    25,984.68/38,977.56 = 9,968.55/x
  3. Step 3: Cross multiply
    25,984.68x = 38,977.56 × 9,968.55
  4. Step 4: Simplify right side
    25,984.68x = 388,549,755.74
  5. Step 5: Solve for x
    x = 388,549,755.74/25,984.68
  6. Step 6: Final answer
    x = 14,953.03

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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.