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Finding the Fourth Proportional to 13,526.84, 20,277.84 and 5,204.36

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Solution

The fourth proportional to 13,526.84, 20,277.84 and 5,204.36 is: 7,801.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,526.84 : 20,277.84 = 5,204.36 : x
  2. Step 2: Convert to fraction form
    13,526.84/20,277.84 = 5,204.36/x
  3. Step 3: Cross multiply
    13,526.84x = 20,277.84 × 5,204.36
  4. Step 4: Simplify right side
    13,526.84x = 105,533,179.38
  5. Step 5: Solve for x
    x = 105,533,179.38/13,526.84
  6. Step 6: Final answer
    x = 7,801.76

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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.