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Finding the Fourth Proportional to 14,178.54, 19,546.11 and 9,973.74

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Solution

The fourth proportional to 14,178.54, 19,546.11 and 9,973.74 is: 13,749.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,178.54 : 19,546.11 = 9,973.74 : x
  2. Step 2: Convert to fraction form
    14,178.54/19,546.11 = 9,973.74/x
  3. Step 3: Cross multiply
    14,178.54x = 19,546.11 × 9,973.74
  4. Step 4: Simplify right side
    14,178.54x = 194,947,819.15
  5. Step 5: Solve for x
    x = 194,947,819.15/14,178.54
  6. Step 6: Final answer
    x = 13,749.50

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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.