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Finding the Fourth Proportional to 17,486.96, 26,214.64 and 6,385.84

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Solution

The fourth proportional to 17,486.96, 26,214.64 and 6,385.84 is: 9,572.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,486.96 : 26,214.64 = 6,385.84 : x
  2. Step 2: Convert to fraction form
    17,486.96/26,214.64 = 6,385.84/x
  3. Step 3: Cross multiply
    17,486.96x = 26,214.64 × 6,385.84
  4. Step 4: Simplify right side
    17,486.96x = 167,402,415.20
  5. Step 5: Solve for x
    x = 167,402,415.20/17,486.96
  6. Step 6: Final answer
    x = 9,572.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.