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Finding the Fourth Proportional to 13,302.40, 19,965.94 and 6,733.22

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Solution

The fourth proportional to 13,302.40, 19,965.94 and 6,733.22 is: 10,106.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,302.40 : 19,965.94 = 6,733.22 : x
  2. Step 2: Convert to fraction form
    13,302.40/19,965.94 = 6,733.22/x
  3. Step 3: Cross multiply
    13,302.40x = 19,965.94 × 6,733.22
  4. Step 4: Simplify right side
    13,302.40x = 134,435,066.53
  5. Step 5: Solve for x
    x = 134,435,066.53/13,302.40
  6. Step 6: Final answer
    x = 10,106.08

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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.