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Finding the Fourth Proportional to 14,285.28, 21,409.02 and 10,349.76

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Solution

The fourth proportional to 14,285.28, 21,409.02 and 10,349.76 is: 15,510.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285.28 : 21,409.02 = 10,349.76 : x
  2. Step 2: Convert to fraction form
    14,285.28/21,409.02 = 10,349.76/x
  3. Step 3: Cross multiply
    14,285.28x = 21,409.02 × 10,349.76
  4. Step 4: Simplify right side
    14,285.28x = 221,578,218.84
  5. Step 5: Solve for x
    x = 221,578,218.84/14,285.28
  6. Step 6: Final answer
    x = 15,510.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.