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Finding the Fourth Proportional to 14,253.60, 21,385.01 and 6,857.10

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Solution

The fourth proportional to 14,253.60, 21,385.01 and 6,857.10 is: 10,287.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,253.60 : 21,385.01 = 6,857.10 : x
  2. Step 2: Convert to fraction form
    14,253.60/21,385.01 = 6,857.10/x
  3. Step 3: Cross multiply
    14,253.60x = 21,385.01 × 6,857.10
  4. Step 4: Simplify right side
    14,253.60x = 146,639,152.07
  5. Step 5: Solve for x
    x = 146,639,152.07/14,253.60
  6. Step 6: Final answer
    x = 10,287.87

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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.