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Finding the Fourth Proportional to 14,476.89, 19,969 and 11,114.58

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Solution

The fourth proportional to 14,476.89, 19,969 and 11,114.58 is: 15,331.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,476.89 : 19,969 = 11,114.58 : x
  2. Step 2: Convert to fraction form
    14,476.89/19,969 = 11,114.58/x
  3. Step 3: Cross multiply
    14,476.89x = 19,969 × 11,114.58
  4. Step 4: Simplify right side
    14,476.89x = 221,947,048.02
  5. Step 5: Solve for x
    x = 221,947,048.02/14,476.89
  6. Step 6: Final answer
    x = 15,331.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.