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Finding the Fourth Proportional to 27,316.90, 40,975.35 and 9,787.30

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Solution

The fourth proportional to 27,316.90, 40,975.35 and 9,787.30 is: 14,680.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,316.90 : 40,975.35 = 9,787.30 : x
  2. Step 2: Convert to fraction form
    27,316.90/40,975.35 = 9,787.30/x
  3. Step 3: Cross multiply
    27,316.90x = 40,975.35 × 9,787.30
  4. Step 4: Simplify right side
    27,316.90x = 401,038,043.06
  5. Step 5: Solve for x
    x = 401,038,043.06/27,316.90
  6. Step 6: Final answer
    x = 14,680.95

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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.