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Finding the Fourth Proportional to 11,657.08, 16,051.80 and 10,443.36

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Solution

The fourth proportional to 11,657.08, 16,051.80 and 10,443.36 is: 14,380.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.08 : 16,051.80 = 10,443.36 : x
  2. Step 2: Convert to fraction form
    11,657.08/16,051.80 = 10,443.36/x
  3. Step 3: Cross multiply
    11,657.08x = 16,051.80 × 10,443.36
  4. Step 4: Simplify right side
    11,657.08x = 167,634,726.05
  5. Step 5: Solve for x
    x = 167,634,726.05/11,657.08
  6. Step 6: Final answer
    x = 14,380.51

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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.