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Finding the Fourth Proportional to 23,542.08, 35,316 and 9,695.04

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Solution

The fourth proportional to 23,542.08, 35,316 and 9,695.04 is: 14,543.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,542.08 : 35,316 = 9,695.04 : x
  2. Step 2: Convert to fraction form
    23,542.08/35,316 = 9,695.04/x
  3. Step 3: Cross multiply
    23,542.08x = 35,316 × 9,695.04
  4. Step 4: Simplify right side
    23,542.08x = 342,390,032.64
  5. Step 5: Solve for x
    x = 342,390,032.64/23,542.08
  6. Step 6: Final answer
    x = 14,543.75

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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.