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Finding the Fourth Proportional to 14,178.31, 21,276.07 and 5,300.10

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Solution

The fourth proportional to 14,178.31, 21,276.07 and 5,300.10 is: 7,953.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,178.31 : 21,276.07 = 5,300.10 : x
  2. Step 2: Convert to fraction form
    14,178.31/21,276.07 = 5,300.10/x
  3. Step 3: Cross multiply
    14,178.31x = 21,276.07 × 5,300.10
  4. Step 4: Simplify right side
    14,178.31x = 112,765,285.36
  5. Step 5: Solve for x
    x = 112,765,285.36/14,178.31
  6. Step 6: Final answer
    x = 7,953.37

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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.