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Finding the Fourth Proportional to 34,509.64, 51,775.40 and 12,322.54

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Solution

The fourth proportional to 34,509.64, 51,775.40 and 12,322.54 is: 18,487.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,509.64 : 51,775.40 = 12,322.54 : x
  2. Step 2: Convert to fraction form
    34,509.64/51,775.40 = 12,322.54/x
  3. Step 3: Cross multiply
    34,509.64x = 51,775.40 × 12,322.54
  4. Step 4: Simplify right side
    34,509.64x = 638,004,437.52
  5. Step 5: Solve for x
    x = 638,004,437.52/34,509.64
  6. Step 6: Final answer
    x = 18,487.72

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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.