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Finding the Fourth Proportional to 26,648.66, 36,775.16 and 14,712

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Solution

The fourth proportional to 26,648.66, 36,775.16 and 14,712 is: 20,302.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,648.66 : 36,775.16 = 14,712 : x
  2. Step 2: Convert to fraction form
    26,648.66/36,775.16 = 14,712/x
  3. Step 3: Cross multiply
    26,648.66x = 36,775.16 × 14,712
  4. Step 4: Simplify right side
    26,648.66x = 541,036,153.92
  5. Step 5: Solve for x
    x = 541,036,153.92/26,648.66
  6. Step 6: Final answer
    x = 20,302.57

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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.