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Finding the Fourth Proportional to 22,305.51, 33,459.80 and 6,510.67

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Solution

The fourth proportional to 22,305.51, 33,459.80 and 6,510.67 is: 9,766.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,305.51 : 33,459.80 = 6,510.67 : x
  2. Step 2: Convert to fraction form
    22,305.51/33,459.80 = 6,510.67/x
  3. Step 3: Cross multiply
    22,305.51x = 33,459.80 × 6,510.67
  4. Step 4: Simplify right side
    22,305.51x = 217,845,716.07
  5. Step 5: Solve for x
    x = 217,845,716.07/22,305.51
  6. Step 6: Final answer
    x = 9,766.45

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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.