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Finding the Fourth Proportional to 26,437, 36,483.06 and 14,661

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Solution

The fourth proportional to 26,437, 36,483.06 and 14,661 is: 20,232.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,437 : 36,483.06 = 14,661 : x
  2. Step 2: Convert to fraction form
    26,437/36,483.06 = 14,661/x
  3. Step 3: Cross multiply
    26,437x = 36,483.06 × 14,661
  4. Step 4: Simplify right side
    26,437x = 534,878,142.66
  5. Step 5: Solve for x
    x = 534,878,142.66/26,437
  6. Step 6: Final answer
    x = 20,232.18

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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.