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Finding the Fourth Proportional to 17,457, 24,081.30 and 12,142.58

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Solution

The fourth proportional to 17,457, 24,081.30 and 12,142.58 is: 16,750.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,457 : 24,081.30 = 12,142.58 : x
  2. Step 2: Convert to fraction form
    17,457/24,081.30 = 12,142.58/x
  3. Step 3: Cross multiply
    17,457x = 24,081.30 × 12,142.58
  4. Step 4: Simplify right side
    17,457x = 292,409,111.75
  5. Step 5: Solve for x
    x = 292,409,111.75/17,457
  6. Step 6: Final answer
    x = 16,750.25

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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.