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Finding the Fourth Proportional to 30,953.78, 42,716.56 and 17,524.74

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Solution

The fourth proportional to 30,953.78, 42,716.56 and 17,524.74 is: 24,184.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,953.78 : 42,716.56 = 17,524.74 : x
  2. Step 2: Convert to fraction form
    30,953.78/42,716.56 = 17,524.74/x
  3. Step 3: Cross multiply
    30,953.78x = 42,716.56 × 17,524.74
  4. Step 4: Simplify right side
    30,953.78x = 748,596,607.69
  5. Step 5: Solve for x
    x = 748,596,607.69/30,953.78
  6. Step 6: Final answer
    x = 24,184.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.