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Finding the Fourth Proportional to 14,029, 19,360.44 and 7,741.78

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Solution

The fourth proportional to 14,029, 19,360.44 and 7,741.78 is: 10,683.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,029 : 19,360.44 = 7,741.78 : x
  2. Step 2: Convert to fraction form
    14,029/19,360.44 = 7,741.78/x
  3. Step 3: Cross multiply
    14,029x = 19,360.44 × 7,741.78
  4. Step 4: Simplify right side
    14,029x = 149,884,267.18
  5. Step 5: Solve for x
    x = 149,884,267.18/14,029
  6. Step 6: Final answer
    x = 10,683.89

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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.