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Finding the Fourth Proportional to 30,426, 41,988.80 and 16,997.84

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Solution

The fourth proportional to 30,426, 41,988.80 and 16,997.84 is: 23,457.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,426 : 41,988.80 = 16,997.84 : x
  2. Step 2: Convert to fraction form
    30,426/41,988.80 = 16,997.84/x
  3. Step 3: Cross multiply
    30,426x = 41,988.80 × 16,997.84
  4. Step 4: Simplify right side
    30,426x = 713,718,904.19
  5. Step 5: Solve for x
    x = 713,718,904.19/30,426
  6. Step 6: Final answer
    x = 23,457.53

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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.