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Finding the Fourth Proportional to 12,225.36, 16,870.75 and 7,190.13

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Solution

The fourth proportional to 12,225.36, 16,870.75 and 7,190.13 is: 9,922.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.36 : 16,870.75 = 7,190.13 : x
  2. Step 2: Convert to fraction form
    12,225.36/16,870.75 = 7,190.13/x
  3. Step 3: Cross multiply
    12,225.36x = 16,870.75 × 7,190.13
  4. Step 4: Simplify right side
    12,225.36x = 121,302,885.70
  5. Step 5: Solve for x
    x = 121,302,885.70/12,225.36
  6. Step 6: Final answer
    x = 9,922.23

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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.