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Finding the Fourth Proportional to 24,343, 36,525.48 and 13,954.76

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Solution

The fourth proportional to 24,343, 36,525.48 and 13,954.76 is: 20,938.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,343 : 36,525.48 = 13,954.76 : x
  2. Step 2: Convert to fraction form
    24,343/36,525.48 = 13,954.76/x
  3. Step 3: Cross multiply
    24,343x = 36,525.48 × 13,954.76
  4. Step 4: Simplify right side
    24,343x = 509,704,307.28
  5. Step 5: Solve for x
    x = 509,704,307.28/24,343
  6. Step 6: Final answer
    x = 20,938.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.