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Finding the Fourth Proportional to 14,056.87, 21,085.31 and 8,210.29

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Solution

The fourth proportional to 14,056.87, 21,085.31 and 8,210.29 is: 12,315.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,056.87 : 21,085.31 = 8,210.29 : x
  2. Step 2: Convert to fraction form
    14,056.87/21,085.31 = 8,210.29/x
  3. Step 3: Cross multiply
    14,056.87x = 21,085.31 × 8,210.29
  4. Step 4: Simplify right side
    14,056.87x = 173,116,509.84
  5. Step 5: Solve for x
    x = 173,116,509.84/14,056.87
  6. Step 6: Final answer
    x = 12,315.44

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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.