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Finding the Fourth Proportional to 13,536.57, 20,303.54 and 4,174.07

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Solution

The fourth proportional to 13,536.57, 20,303.54 and 4,174.07 is: 6,260.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536.57 : 20,303.54 = 4,174.07 : x
  2. Step 2: Convert to fraction form
    13,536.57/20,303.54 = 4,174.07/x
  3. Step 3: Cross multiply
    13,536.57x = 20,303.54 × 4,174.07
  4. Step 4: Simplify right side
    13,536.57x = 84,748,274.82
  5. Step 5: Solve for x
    x = 84,748,274.82/13,536.57
  6. Step 6: Final answer
    x = 6,260.69

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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.