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Finding the Fourth Proportional to 19,056.25, 28,586 and 5,205.25

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Solution

The fourth proportional to 19,056.25, 28,586 and 5,205.25 is: 7,808.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,056.25 : 28,586 = 5,205.25 : x
  2. Step 2: Convert to fraction form
    19,056.25/28,586 = 5,205.25/x
  3. Step 3: Cross multiply
    19,056.25x = 28,586 × 5,205.25
  4. Step 4: Simplify right side
    19,056.25x = 148,797,276.50
  5. Step 5: Solve for x
    x = 148,797,276.50/19,056.25
  6. Step 6: Final answer
    x = 7,808.32

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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.