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Finding the Fourth Proportional to 19,641.48, 29,466.84 and 6,493.86

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Solution

The fourth proportional to 19,641.48, 29,466.84 and 6,493.86 is: 9,742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,641.48 : 29,466.84 = 6,493.86 : x
  2. Step 2: Convert to fraction form
    19,641.48/29,466.84 = 6,493.86/x
  3. Step 3: Cross multiply
    19,641.48x = 29,466.84 × 6,493.86
  4. Step 4: Simplify right side
    19,641.48x = 191,353,533.60
  5. Step 5: Solve for x
    x = 191,353,533.60/19,641.48
  6. Step 6: Final answer
    x = 9,742.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.