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Finding the Fourth Proportional to 26,433, 36,477.54 and 14,657

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Solution

The fourth proportional to 26,433, 36,477.54 and 14,657 is: 20,226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,433 : 36,477.54 = 14,657 : x
  2. Step 2: Convert to fraction form
    26,433/36,477.54 = 14,657/x
  3. Step 3: Cross multiply
    26,433x = 36,477.54 × 14,657
  4. Step 4: Simplify right side
    26,433x = 534,651,303.78
  5. Step 5: Solve for x
    x = 534,651,303.78/26,433
  6. Step 6: Final answer
    x = 20,226.66

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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.