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Finding the Fourth Proportional to 14,186.13, 19,577.46 and 7,898.50

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Solution

The fourth proportional to 14,186.13, 19,577.46 and 7,898.50 is: 10,900.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,186.13 : 19,577.46 = 7,898.50 : x
  2. Step 2: Convert to fraction form
    14,186.13/19,577.46 = 7,898.50/x
  3. Step 3: Cross multiply
    14,186.13x = 19,577.46 × 7,898.50
  4. Step 4: Simplify right side
    14,186.13x = 154,632,567.81
  5. Step 5: Solve for x
    x = 154,632,567.81/14,186.13
  6. Step 6: Final answer
    x = 10,900.27

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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.