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Finding the Fourth Proportional to 19,054.80, 28,565.70 and 9,201

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Solution

The fourth proportional to 19,054.80, 28,565.70 and 9,201 is: 13,793.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,054.80 : 28,565.70 = 9,201 : x
  2. Step 2: Convert to fraction form
    19,054.80/28,565.70 = 9,201/x
  3. Step 3: Cross multiply
    19,054.80x = 28,565.70 × 9,201
  4. Step 4: Simplify right side
    19,054.80x = 262,833,005.70
  5. Step 5: Solve for x
    x = 262,833,005.70/19,054.80
  6. Step 6: Final answer
    x = 13,793.53

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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.