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Finding the Fourth Proportional to 26,712, 36,858.16 and 14,773

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Solution

The fourth proportional to 26,712, 36,858.16 and 14,773 is: 20,384.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,712 : 36,858.16 = 14,773 : x
  2. Step 2: Convert to fraction form
    26,712/36,858.16 = 14,773/x
  3. Step 3: Cross multiply
    26,712x = 36,858.16 × 14,773
  4. Step 4: Simplify right side
    26,712x = 544,505,597.68
  5. Step 5: Solve for x
    x = 544,505,597.68/26,712
  6. Step 6: Final answer
    x = 20,384.31

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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.