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Finding the Fourth Proportional to 13,764.34, 18,994.71 and 7,476.76

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Solution

The fourth proportional to 13,764.34, 18,994.71 and 7,476.76 is: 10,317.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,764.34 : 18,994.71 = 7,476.76 : x
  2. Step 2: Convert to fraction form
    13,764.34/18,994.71 = 7,476.76/x
  3. Step 3: Cross multiply
    13,764.34x = 18,994.71 × 7,476.76
  4. Step 4: Simplify right side
    13,764.34x = 142,018,887.94
  5. Step 5: Solve for x
    x = 142,018,887.94/13,764.34
  6. Step 6: Final answer
    x = 10,317.89

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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.