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Finding the Fourth Proportional to 14,129.71, 19,495.00 and 9,096.84

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Solution

The fourth proportional to 14,129.71, 19,495.00 and 9,096.84 is: 12,551.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,129.71 : 19,495.00 = 9,096.84 : x
  2. Step 2: Convert to fraction form
    14,129.71/19,495.00 = 9,096.84/x
  3. Step 3: Cross multiply
    14,129.71x = 19,495.00 × 9,096.84
  4. Step 4: Simplify right side
    14,129.71x = 177,342,932.76
  5. Step 5: Solve for x
    x = 177,342,932.76/14,129.71
  6. Step 6: Final answer
    x = 12,551.07

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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.