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Finding the Fourth Proportional to 26,628, 36,746.64 and 14,852

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Solution

The fourth proportional to 26,628, 36,746.64 and 14,852 is: 20,495.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,628 : 36,746.64 = 14,852 : x
  2. Step 2: Convert to fraction form
    26,628/36,746.64 = 14,852/x
  3. Step 3: Cross multiply
    26,628x = 36,746.64 × 14,852
  4. Step 4: Simplify right side
    26,628x = 545,761,097.28
  5. Step 5: Solve for x
    x = 545,761,097.28/26,628
  6. Step 6: Final answer
    x = 20,495.76

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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.