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Finding the Fourth Proportional to 13,971.84, 20,946.47 and 4,606.01

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Solution

The fourth proportional to 13,971.84, 20,946.47 and 4,606.01 is: 6,905.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,971.84 : 20,946.47 = 4,606.01 : x
  2. Step 2: Convert to fraction form
    13,971.84/20,946.47 = 4,606.01/x
  3. Step 3: Cross multiply
    13,971.84x = 20,946.47 × 4,606.01
  4. Step 4: Simplify right side
    13,971.84x = 96,479,661.80
  5. Step 5: Solve for x
    x = 96,479,661.80/13,971.84
  6. Step 6: Final answer
    x = 6,905.30

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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.