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Finding the Fourth Proportional to 13,302.56, 19,927.24 and 11,527.13

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Solution

The fourth proportional to 13,302.56, 19,927.24 and 11,527.13 is: 17,267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,302.56 : 19,927.24 = 11,527.13 : x
  2. Step 2: Convert to fraction form
    13,302.56/19,927.24 = 11,527.13/x
  3. Step 3: Cross multiply
    13,302.56x = 19,927.24 × 11,527.13
  4. Step 4: Simplify right side
    13,302.56x = 229,703,907.02
  5. Step 5: Solve for x
    x = 229,703,907.02/13,302.56
  6. Step 6: Final answer
    x = 17,267.64

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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.