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Finding the Fourth Proportional to 30,588.96, 42,210.84 and 17,160.12

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Solution

The fourth proportional to 30,588.96, 42,210.84 and 17,160.12 is: 23,679.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,588.96 : 42,210.84 = 17,160.12 : x
  2. Step 2: Convert to fraction form
    30,588.96/42,210.84 = 17,160.12/x
  3. Step 3: Cross multiply
    30,588.96x = 42,210.84 × 17,160.12
  4. Step 4: Simplify right side
    30,588.96x = 724,343,079.70
  5. Step 5: Solve for x
    x = 724,343,079.70/30,588.96
  6. Step 6: Final answer
    x = 23,679.89

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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.