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Finding the Fourth Proportional to 14,185.86, 19,575.66 and 10,424.82

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Solution

The fourth proportional to 14,185.86, 19,575.66 and 10,424.82 is: 14,385.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,185.86 : 19,575.66 = 10,424.82 : x
  2. Step 2: Convert to fraction form
    14,185.86/19,575.66 = 10,424.82/x
  3. Step 3: Cross multiply
    14,185.86x = 19,575.66 × 10,424.82
  4. Step 4: Simplify right side
    14,185.86x = 204,072,731.88
  5. Step 5: Solve for x
    x = 204,072,731.88/14,185.86
  6. Step 6: Final answer
    x = 14,385.64

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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.