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Finding the Fourth Proportional to 23,051.64, 34,578 and 9,011.04

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Solution

The fourth proportional to 23,051.64, 34,578 and 9,011.04 is: 13,516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,051.64 : 34,578 = 9,011.04 : x
  2. Step 2: Convert to fraction form
    23,051.64/34,578 = 9,011.04/x
  3. Step 3: Cross multiply
    23,051.64x = 34,578 × 9,011.04
  4. Step 4: Simplify right side
    23,051.64x = 311,583,741.12
  5. Step 5: Solve for x
    x = 311,583,741.12/23,051.64
  6. Step 6: Final answer
    x = 13,516.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.