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Finding the Fourth Proportional to 30,588.84, 42,214.53 and 17,160.96

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Solution

The fourth proportional to 30,588.84, 42,214.53 and 17,160.96 is: 23,683.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,588.84 : 42,214.53 = 17,160.96 : x
  2. Step 2: Convert to fraction form
    30,588.84/42,214.53 = 17,160.96/x
  3. Step 3: Cross multiply
    30,588.84x = 42,214.53 × 17,160.96
  4. Step 4: Simplify right side
    30,588.84x = 724,441,860.75
  5. Step 5: Solve for x
    x = 724,441,860.75/30,588.84
  6. Step 6: Final answer
    x = 23,683.21

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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.