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Finding the Fourth Proportional to 30,426.68, 41,989.14 and 17,851.64

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Solution

The fourth proportional to 30,426.68, 41,989.14 and 17,851.64 is: 24,635.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,426.68 : 41,989.14 = 17,851.64 : x
  2. Step 2: Convert to fraction form
    30,426.68/41,989.14 = 17,851.64/x
  3. Step 3: Cross multiply
    30,426.68x = 41,989.14 × 17,851.64
  4. Step 4: Simplify right side
    30,426.68x = 749,575,011.19
  5. Step 5: Solve for x
    x = 749,575,011.19/30,426.68
  6. Step 6: Final answer
    x = 24,635.45

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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.