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Finding the Fourth Proportional to 17,492.96, 24,139.54 and 9,535

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Solution

The fourth proportional to 17,492.96, 24,139.54 and 9,535 is: 13,157.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,492.96 : 24,139.54 = 9,535 : x
  2. Step 2: Convert to fraction form
    17,492.96/24,139.54 = 9,535/x
  3. Step 3: Cross multiply
    17,492.96x = 24,139.54 × 9,535
  4. Step 4: Simplify right side
    17,492.96x = 230,170,513.90
  5. Step 5: Solve for x
    x = 230,170,513.90/17,492.96
  6. Step 6: Final answer
    x = 13,157.89

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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.