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Finding the Fourth Proportional to 19,752, 27,262.32 and 13,038.96

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Solution

The fourth proportional to 19,752, 27,262.32 and 13,038.96 is: 17,996.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,752 : 27,262.32 = 13,038.96 : x
  2. Step 2: Convert to fraction form
    19,752/27,262.32 = 13,038.96/x
  3. Step 3: Cross multiply
    19,752x = 27,262.32 × 13,038.96
  4. Step 4: Simplify right side
    19,752x = 355,472,299.99
  5. Step 5: Solve for x
    x = 355,472,299.99/19,752
  6. Step 6: Final answer
    x = 17,996.78

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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.