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Finding the Fourth Proportional to 14,216.95, 21,323.40 and 4,857.40

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Solution

The fourth proportional to 14,216.95, 21,323.40 and 4,857.40 is: 7,285.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,216.95 : 21,323.40 = 4,857.40 : x
  2. Step 2: Convert to fraction form
    14,216.95/21,323.40 = 4,857.40/x
  3. Step 3: Cross multiply
    14,216.95x = 21,323.40 × 4,857.40
  4. Step 4: Simplify right side
    14,216.95x = 103,576,283.16
  5. Step 5: Solve for x
    x = 103,576,283.16/14,216.95
  6. Step 6: Final answer
    x = 7,285.41

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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.