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Finding the Fourth Proportional to 17,588.22, 24,274.08 and 10,032.84

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Solution

The fourth proportional to 17,588.22, 24,274.08 and 10,032.84 is: 13,846.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,588.22 : 24,274.08 = 10,032.84 : x
  2. Step 2: Convert to fraction form
    17,588.22/24,274.08 = 10,032.84/x
  3. Step 3: Cross multiply
    17,588.22x = 24,274.08 × 10,032.84
  4. Step 4: Simplify right side
    17,588.22x = 243,537,960.79
  5. Step 5: Solve for x
    x = 243,537,960.79/17,588.22
  6. Step 6: Final answer
    x = 13,846.65

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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.