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Finding the Fourth Proportional to 14,642.76, 21,969.90 and 6,429

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Solution

The fourth proportional to 14,642.76, 21,969.90 and 6,429 is: 9,646.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.76 : 21,969.90 = 6,429 : x
  2. Step 2: Convert to fraction form
    14,642.76/21,969.90 = 6,429/x
  3. Step 3: Cross multiply
    14,642.76x = 21,969.90 × 6,429
  4. Step 4: Simplify right side
    14,642.76x = 141,244,487.10
  5. Step 5: Solve for x
    x = 141,244,487.10/14,642.76
  6. Step 6: Final answer
    x = 9,646.03

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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.