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Finding the Fourth Proportional to 13,228.84, 18,254.64 and 7,562.46

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Solution

The fourth proportional to 13,228.84, 18,254.64 and 7,562.46 is: 10,435.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,228.84 : 18,254.64 = 7,562.46 : x
  2. Step 2: Convert to fraction form
    13,228.84/18,254.64 = 7,562.46/x
  3. Step 3: Cross multiply
    13,228.84x = 18,254.64 × 7,562.46
  4. Step 4: Simplify right side
    13,228.84x = 138,049,984.81
  5. Step 5: Solve for x
    x = 138,049,984.81/13,228.84
  6. Step 6: Final answer
    x = 10,435.53

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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.