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Finding the Fourth Proportional to 23,106.72, 34,656.40 and 7,524.24

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Solution

The fourth proportional to 23,106.72, 34,656.40 and 7,524.24 is: 11,285.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,106.72 : 34,656.40 = 7,524.24 : x
  2. Step 2: Convert to fraction form
    23,106.72/34,656.40 = 7,524.24/x
  3. Step 3: Cross multiply
    23,106.72x = 34,656.40 × 7,524.24
  4. Step 4: Simplify right side
    23,106.72x = 260,763,071.14
  5. Step 5: Solve for x
    x = 260,763,071.14/23,106.72
  6. Step 6: Final answer
    x = 11,285.16

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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.