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Finding the Fourth Proportional to 13,527.34, 20,271.87 and 10,602.23

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Solution

The fourth proportional to 13,527.34, 20,271.87 and 10,602.23 is: 15,888.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527.34 : 20,271.87 = 10,602.23 : x
  2. Step 2: Convert to fraction form
    13,527.34/20,271.87 = 10,602.23/x
  3. Step 3: Cross multiply
    13,527.34x = 20,271.87 × 10,602.23
  4. Step 4: Simplify right side
    13,527.34x = 214,926,926.91
  5. Step 5: Solve for x
    x = 214,926,926.91/13,527.34
  6. Step 6: Final answer
    x = 15,888.34

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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.