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Finding the Fourth Proportional to 14,146.83, 21,187.95 and 6,756.50

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Solution

The fourth proportional to 14,146.83, 21,187.95 and 6,756.50 is: 10,119.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,146.83 : 21,187.95 = 6,756.50 : x
  2. Step 2: Convert to fraction form
    14,146.83/21,187.95 = 6,756.50/x
  3. Step 3: Cross multiply
    14,146.83x = 21,187.95 × 6,756.50
  4. Step 4: Simplify right side
    14,146.83x = 143,156,278.24
  5. Step 5: Solve for x
    x = 143,156,278.24/14,146.83
  6. Step 6: Final answer
    x = 10,119.32

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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.