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Finding the Fourth Proportional to 19,505.61, 29,263.88 and 7,827.03

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Solution

The fourth proportional to 19,505.61, 29,263.88 and 7,827.03 is: 11,742.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,505.61 : 29,263.88 = 7,827.03 : x
  2. Step 2: Convert to fraction form
    19,505.61/29,263.88 = 7,827.03/x
  3. Step 3: Cross multiply
    19,505.61x = 29,263.88 × 7,827.03
  4. Step 4: Simplify right side
    19,505.61x = 229,049,286.24
  5. Step 5: Solve for x
    x = 229,049,286.24/19,505.61
  6. Step 6: Final answer
    x = 11,742.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.