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Finding the Fourth Proportional to 14,143.77, 19,518.56 and 7,770.51

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Solution

The fourth proportional to 14,143.77, 19,518.56 and 7,770.51 is: 10,723.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,143.77 : 19,518.56 = 7,770.51 : x
  2. Step 2: Convert to fraction form
    14,143.77/19,518.56 = 7,770.51/x
  3. Step 3: Cross multiply
    14,143.77x = 19,518.56 × 7,770.51
  4. Step 4: Simplify right side
    14,143.77x = 151,669,126.81
  5. Step 5: Solve for x
    x = 151,669,126.81/14,143.77
  6. Step 6: Final answer
    x = 10,723.39

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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.