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Finding the Fourth Proportional to 27,541.94, 41,312.80 and 7,820.50

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Solution

The fourth proportional to 27,541.94, 41,312.80 and 7,820.50 is: 11,730.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,541.94 : 41,312.80 = 7,820.50 : x
  2. Step 2: Convert to fraction form
    27,541.94/41,312.80 = 7,820.50/x
  3. Step 3: Cross multiply
    27,541.94x = 41,312.80 × 7,820.50
  4. Step 4: Simplify right side
    27,541.94x = 323,086,752.40
  5. Step 5: Solve for x
    x = 323,086,752.40/27,541.94
  6. Step 6: Final answer
    x = 11,730.72

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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.