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Finding the Fourth Proportional to 17,461.71, 24,109.23 and 16,346.34

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Solution

The fourth proportional to 17,461.71, 24,109.23 and 16,346.34 is: 22,569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,461.71 : 24,109.23 = 16,346.34 : x
  2. Step 2: Convert to fraction form
    17,461.71/24,109.23 = 16,346.34/x
  3. Step 3: Cross multiply
    17,461.71x = 24,109.23 × 16,346.34
  4. Step 4: Simplify right side
    17,461.71x = 394,097,670.72
  5. Step 5: Solve for x
    x = 394,097,670.72/17,461.71
  6. Step 6: Final answer
    x = 22,569.25

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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.