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Finding the Fourth Proportional to 27,312.90, 40,969.35 and 9,783.30

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Solution

The fourth proportional to 27,312.90, 40,969.35 and 9,783.30 is: 14,674.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,312.90 : 40,969.35 = 9,783.30 : x
  2. Step 2: Convert to fraction form
    27,312.90/40,969.35 = 9,783.30/x
  3. Step 3: Cross multiply
    27,312.90x = 40,969.35 × 9,783.30
  4. Step 4: Simplify right side
    27,312.90x = 400,815,441.86
  5. Step 5: Solve for x
    x = 400,815,441.86/27,312.90
  6. Step 6: Final answer
    x = 14,674.95

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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.