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Finding the Fourth Proportional to 23,698.72, 35,548 and 9,655.62

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Solution

The fourth proportional to 23,698.72, 35,548 and 9,655.62 is: 14,483.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,698.72 : 35,548 = 9,655.62 : x
  2. Step 2: Convert to fraction form
    23,698.72/35,548 = 9,655.62/x
  3. Step 3: Cross multiply
    23,698.72x = 35,548 × 9,655.62
  4. Step 4: Simplify right side
    23,698.72x = 343,237,979.76
  5. Step 5: Solve for x
    x = 343,237,979.76/23,698.72
  6. Step 6: Final answer
    x = 14,483.40

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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.