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Finding the Fourth Proportional to 12,312.98, 18,464.02 and 3,545.86

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Solution

The fourth proportional to 12,312.98, 18,464.02 and 3,545.86 is: 5,317.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,312.98 : 18,464.02 = 3,545.86 : x
  2. Step 2: Convert to fraction form
    12,312.98/18,464.02 = 3,545.86/x
  3. Step 3: Cross multiply
    12,312.98x = 18,464.02 × 3,545.86
  4. Step 4: Simplify right side
    12,312.98x = 65,470,829.96
  5. Step 5: Solve for x
    x = 65,470,829.96/12,312.98
  6. Step 6: Final answer
    x = 5,317.22

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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.