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Finding the Fourth Proportional to 25,827.84, 38,741.76 and 9,408

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Solution

The fourth proportional to 25,827.84, 38,741.76 and 9,408 is: 14,112.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,827.84 : 38,741.76 = 9,408 : x
  2. Step 2: Convert to fraction form
    25,827.84/38,741.76 = 9,408/x
  3. Step 3: Cross multiply
    25,827.84x = 38,741.76 × 9,408
  4. Step 4: Simplify right side
    25,827.84x = 364,482,478.08
  5. Step 5: Solve for x
    x = 364,482,478.08/25,827.84
  6. Step 6: Final answer
    x = 14,112.00

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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.