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Finding the Fourth Proportional to 12,536.48, 18,804.72 and 6,384.80

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Solution

The fourth proportional to 12,536.48, 18,804.72 and 6,384.80 is: 9,577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.48 : 18,804.72 = 6,384.80 : x
  2. Step 2: Convert to fraction form
    12,536.48/18,804.72 = 6,384.80/x
  3. Step 3: Cross multiply
    12,536.48x = 18,804.72 × 6,384.80
  4. Step 4: Simplify right side
    12,536.48x = 120,064,376.26
  5. Step 5: Solve for x
    x = 120,064,376.26/12,536.48
  6. Step 6: Final answer
    x = 9,577.20

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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.