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Finding the Fourth Proportional to 14,827.12, 22,242.06 and 5,466.76

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Solution

The fourth proportional to 14,827.12, 22,242.06 and 5,466.76 is: 8,200.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,827.12 : 22,242.06 = 5,466.76 : x
  2. Step 2: Convert to fraction form
    14,827.12/22,242.06 = 5,466.76/x
  3. Step 3: Cross multiply
    14,827.12x = 22,242.06 × 5,466.76
  4. Step 4: Simplify right side
    14,827.12x = 121,592,003.93
  5. Step 5: Solve for x
    x = 121,592,003.93/14,827.12
  6. Step 6: Final answer
    x = 8,200.65

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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.