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Finding the Fourth Proportional to 23,834.38, 35,760.98 and 9,047.22

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Solution

The fourth proportional to 23,834.38, 35,760.98 and 9,047.22 is: 13,574.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,834.38 : 35,760.98 = 9,047.22 : x
  2. Step 2: Convert to fraction form
    23,834.38/35,760.98 = 9,047.22/x
  3. Step 3: Cross multiply
    23,834.38x = 35,760.98 × 9,047.22
  4. Step 4: Simplify right side
    23,834.38x = 323,537,341.46
  5. Step 5: Solve for x
    x = 323,537,341.46/23,834.38
  6. Step 6: Final answer
    x = 13,574.40

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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.