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Finding the Fourth Proportional to 26,524.56, 36,602.64 and 14,588.40

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Solution

The fourth proportional to 26,524.56, 36,602.64 and 14,588.40 is: 20,131.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,524.56 : 36,602.64 = 14,588.40 : x
  2. Step 2: Convert to fraction form
    26,524.56/36,602.64 = 14,588.40/x
  3. Step 3: Cross multiply
    26,524.56x = 36,602.64 × 14,588.40
  4. Step 4: Simplify right side
    26,524.56x = 533,973,953.38
  5. Step 5: Solve for x
    x = 533,973,953.38/26,524.56
  6. Step 6: Final answer
    x = 20,131.30

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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.