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Finding the Fourth Proportional to 14,186.81, 19,577.94 and 7,899.32

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Solution

The fourth proportional to 14,186.81, 19,577.94 and 7,899.32 is: 10,901.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,186.81 : 19,577.94 = 7,899.32 : x
  2. Step 2: Convert to fraction form
    14,186.81/19,577.94 = 7,899.32/x
  3. Step 3: Cross multiply
    14,186.81x = 19,577.94 × 7,899.32
  4. Step 4: Simplify right side
    14,186.81x = 154,652,432.32
  5. Step 5: Solve for x
    x = 154,652,432.32/14,186.81
  6. Step 6: Final answer
    x = 10,901.14

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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.