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Finding the Fourth Proportional to 19,062, 28,601.64 and 9,199.44

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Solution

The fourth proportional to 19,062, 28,601.64 and 9,199.44 is: 13,803.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,062 : 28,601.64 = 9,199.44 : x
  2. Step 2: Convert to fraction form
    19,062/28,601.64 = 9,199.44/x
  3. Step 3: Cross multiply
    19,062x = 28,601.64 × 9,199.44
  4. Step 4: Simplify right side
    19,062x = 263,119,071.08
  5. Step 5: Solve for x
    x = 263,119,071.08/19,062
  6. Step 6: Final answer
    x = 13,803.33

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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.