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Finding the Fourth Proportional to 13,574.34, 20,354.56 and 5,674.70

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Solution

The fourth proportional to 13,574.34, 20,354.56 and 5,674.70 is: 8,509.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.34 : 20,354.56 = 5,674.70 : x
  2. Step 2: Convert to fraction form
    13,574.34/20,354.56 = 5,674.70/x
  3. Step 3: Cross multiply
    13,574.34x = 20,354.56 × 5,674.70
  4. Step 4: Simplify right side
    13,574.34x = 115,506,021.63
  5. Step 5: Solve for x
    x = 115,506,021.63/13,574.34
  6. Step 6: Final answer
    x = 8,509.14

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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.