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Finding the Fourth Proportional to 14,096.74, 19,430.83 and 9,557.95

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Solution

The fourth proportional to 14,096.74, 19,430.83 and 9,557.95 is: 13,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,096.74 : 19,430.83 = 9,557.95 : x
  2. Step 2: Convert to fraction form
    14,096.74/19,430.83 = 9,557.95/x
  3. Step 3: Cross multiply
    14,096.74x = 19,430.83 × 9,557.95
  4. Step 4: Simplify right side
    14,096.74x = 185,718,901.60
  5. Step 5: Solve for x
    x = 185,718,901.60/14,096.74
  6. Step 6: Final answer
    x = 13,174.60

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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.