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Finding the Fourth Proportional to 25,302, 34,917.12 and 14,124

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Solution

The fourth proportional to 25,302, 34,917.12 and 14,124 is: 19,491.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,302 : 34,917.12 = 14,124 : x
  2. Step 2: Convert to fraction form
    25,302/34,917.12 = 14,124/x
  3. Step 3: Cross multiply
    25,302x = 34,917.12 × 14,124
  4. Step 4: Simplify right side
    25,302x = 493,169,402.88
  5. Step 5: Solve for x
    x = 493,169,402.88/25,302
  6. Step 6: Final answer
    x = 19,491.32

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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.