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Finding the Fourth Proportional to 29,832.16, 44,722.32 and 12,289.84

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Solution

The fourth proportional to 29,832.16, 44,722.32 and 12,289.84 is: 18,424.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,832.16 : 44,722.32 = 12,289.84 : x
  2. Step 2: Convert to fraction form
    29,832.16/44,722.32 = 12,289.84/x
  3. Step 3: Cross multiply
    29,832.16x = 44,722.32 × 12,289.84
  4. Step 4: Simplify right side
    29,832.16x = 549,630,157.23
  5. Step 5: Solve for x
    x = 549,630,157.23/29,832.16
  6. Step 6: Final answer
    x = 18,424.08

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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.