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Finding the Fourth Proportional to 14,186.25, 19,577.16 and 7,898.76

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Solution

The fourth proportional to 14,186.25, 19,577.16 and 7,898.76 is: 10,900.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,186.25 : 19,577.16 = 7,898.76 : x
  2. Step 2: Convert to fraction form
    14,186.25/19,577.16 = 7,898.76/x
  3. Step 3: Cross multiply
    14,186.25x = 19,577.16 × 7,898.76
  4. Step 4: Simplify right side
    14,186.25x = 154,635,288.32
  5. Step 5: Solve for x
    x = 154,635,288.32/14,186.25
  6. Step 6: Final answer
    x = 10,900.36

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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.