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Finding the Fourth Proportional to 14,112, 21,172.74 and 9,899.64

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Solution

The fourth proportional to 14,112, 21,172.74 and 9,899.64 is: 14,852.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,112 : 21,172.74 = 9,899.64 : x
  2. Step 2: Convert to fraction form
    14,112/21,172.74 = 9,899.64/x
  3. Step 3: Cross multiply
    14,112x = 21,172.74 × 9,899.64
  4. Step 4: Simplify right side
    14,112x = 209,602,503.81
  5. Step 5: Solve for x
    x = 209,602,503.81/14,112
  6. Step 6: Final answer
    x = 14,852.79

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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.