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Finding the Fourth Proportional to 14,094.16, 19,448.96 and 7,806

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Solution

The fourth proportional to 14,094.16, 19,448.96 and 7,806 is: 10,771.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,094.16 : 19,448.96 = 7,806 : x
  2. Step 2: Convert to fraction form
    14,094.16/19,448.96 = 7,806/x
  3. Step 3: Cross multiply
    14,094.16x = 19,448.96 × 7,806
  4. Step 4: Simplify right side
    14,094.16x = 151,818,581.76
  5. Step 5: Solve for x
    x = 151,818,581.76/14,094.16
  6. Step 6: Final answer
    x = 10,771.74

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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.