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Finding the Fourth Proportional to 19,575.46, 27,014.74 and 11,507.64

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Solution

The fourth proportional to 19,575.46, 27,014.74 and 11,507.64 is: 15,880.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,575.46 : 27,014.74 = 11,507.64 : x
  2. Step 2: Convert to fraction form
    19,575.46/27,014.74 = 11,507.64/x
  3. Step 3: Cross multiply
    19,575.46x = 27,014.74 × 11,507.64
  4. Step 4: Simplify right side
    19,575.46x = 310,875,772.54
  5. Step 5: Solve for x
    x = 310,875,772.54/19,575.46
  6. Step 6: Final answer
    x = 15,880.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.