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Finding the Fourth Proportional to 14,029, 19,360.14 and 7,741.54

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Solution

The fourth proportional to 14,029, 19,360.14 and 7,741.54 is: 10,683.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,029 : 19,360.14 = 7,741.54 : x
  2. Step 2: Convert to fraction form
    14,029/19,360.14 = 7,741.54/x
  3. Step 3: Cross multiply
    14,029x = 19,360.14 × 7,741.54
  4. Step 4: Simplify right side
    14,029x = 149,877,298.22
  5. Step 5: Solve for x
    x = 149,877,298.22/14,029
  6. Step 6: Final answer
    x = 10,683.39

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Why These Related Problems?

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