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Finding the Fourth Proportional to 26,624, 36,741.12 and 14,848

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Solution

The fourth proportional to 26,624, 36,741.12 and 14,848 is: 20,490.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,624 : 36,741.12 = 14,848 : x
  2. Step 2: Convert to fraction form
    26,624/36,741.12 = 14,848/x
  3. Step 3: Cross multiply
    26,624x = 36,741.12 × 14,848
  4. Step 4: Simplify right side
    26,624x = 545,532,149.76
  5. Step 5: Solve for x
    x = 545,532,149.76/26,624
  6. Step 6: Final answer
    x = 20,490.24

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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.