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Finding the Fourth Proportional to 13,688.69, 20,514.44 and 7,762.77

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Solution

The fourth proportional to 13,688.69, 20,514.44 and 7,762.77 is: 11,633.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688.69 : 20,514.44 = 7,762.77 : x
  2. Step 2: Convert to fraction form
    13,688.69/20,514.44 = 7,762.77/x
  3. Step 3: Cross multiply
    13,688.69x = 20,514.44 × 7,762.77
  4. Step 4: Simplify right side
    13,688.69x = 159,248,840.58
  5. Step 5: Solve for x
    x = 159,248,840.58/13,688.69
  6. Step 6: Final answer
    x = 11,633.61

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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.