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Finding the Fourth Proportional to 19,064.16, 28,596.24 and 5,913

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Solution

The fourth proportional to 19,064.16, 28,596.24 and 5,913 is: 8,869.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,064.16 : 28,596.24 = 5,913 : x
  2. Step 2: Convert to fraction form
    19,064.16/28,596.24 = 5,913/x
  3. Step 3: Cross multiply
    19,064.16x = 28,596.24 × 5,913
  4. Step 4: Simplify right side
    19,064.16x = 169,089,567.12
  5. Step 5: Solve for x
    x = 169,089,567.12/19,064.16
  6. Step 6: Final answer
    x = 8,869.50

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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.