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Finding the Fourth Proportional to 19,301.50, 28,886.46 and 16,184.98

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Solution

The fourth proportional to 19,301.50, 28,886.46 and 16,184.98 is: 24,222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,301.50 : 28,886.46 = 16,184.98 : x
  2. Step 2: Convert to fraction form
    19,301.50/28,886.46 = 16,184.98/x
  3. Step 3: Cross multiply
    19,301.50x = 28,886.46 × 16,184.98
  4. Step 4: Simplify right side
    19,301.50x = 467,526,777.37
  5. Step 5: Solve for x
    x = 467,526,777.37/19,301.50
  6. Step 6: Final answer
    x = 24,222.30

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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.