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Finding the Fourth Proportional to 27,065.95, 40,597.10 and 9,533.50

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Solution

The fourth proportional to 27,065.95, 40,597.10 and 9,533.50 is: 14,299.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,065.95 : 40,597.10 = 9,533.50 : x
  2. Step 2: Convert to fraction form
    27,065.95/40,597.10 = 9,533.50/x
  3. Step 3: Cross multiply
    27,065.95x = 40,597.10 × 9,533.50
  4. Step 4: Simplify right side
    27,065.95x = 387,032,339.44
  5. Step 5: Solve for x
    x = 387,032,339.44/27,065.95
  6. Step 6: Final answer
    x = 14,299.60

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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.