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Finding the Fourth Proportional to 12,536.18, 17,303.74 and 7,234.46

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Solution

The fourth proportional to 12,536.18, 17,303.74 and 7,234.46 is: 9,985.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.18 : 17,303.74 = 7,234.46 : x
  2. Step 2: Convert to fraction form
    12,536.18/17,303.74 = 7,234.46/x
  3. Step 3: Cross multiply
    12,536.18x = 17,303.74 × 7,234.46
  4. Step 4: Simplify right side
    12,536.18x = 125,183,214.88
  5. Step 5: Solve for x
    x = 125,183,214.88/12,536.18
  6. Step 6: Final answer
    x = 9,985.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.