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Finding the Fourth Proportional to 14,210.58, 19,610.82 and 7,837.14

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Solution

The fourth proportional to 14,210.58, 19,610.82 and 7,837.14 is: 10,815.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,210.58 : 19,610.82 = 7,837.14 : x
  2. Step 2: Convert to fraction form
    14,210.58/19,610.82 = 7,837.14/x
  3. Step 3: Cross multiply
    14,210.58x = 19,610.82 × 7,837.14
  4. Step 4: Simplify right side
    14,210.58x = 153,692,741.85
  5. Step 5: Solve for x
    x = 153,692,741.85/14,210.58
  6. Step 6: Final answer
    x = 10,815.37

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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.