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Finding the Fourth Proportional to 12,303.72, 16,980.06 and 6,998.22

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Solution

The fourth proportional to 12,303.72, 16,980.06 and 6,998.22 is: 9,658.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,303.72 : 16,980.06 = 6,998.22 : x
  2. Step 2: Convert to fraction form
    12,303.72/16,980.06 = 6,998.22/x
  3. Step 3: Cross multiply
    12,303.72x = 16,980.06 × 6,998.22
  4. Step 4: Simplify right side
    12,303.72x = 118,830,195.49
  5. Step 5: Solve for x
    x = 118,830,195.49/12,303.72
  6. Step 6: Final answer
    x = 9,658.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.