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Finding the Fourth Proportional to 23,643.91, 35,471.04 and 7,005.25

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Solution

The fourth proportional to 23,643.91, 35,471.04 and 7,005.25 is: 10,509.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,643.91 : 35,471.04 = 7,005.25 : x
  2. Step 2: Convert to fraction form
    23,643.91/35,471.04 = 7,005.25/x
  3. Step 3: Cross multiply
    23,643.91x = 35,471.04 × 7,005.25
  4. Step 4: Simplify right side
    23,643.91x = 248,483,325.60
  5. Step 5: Solve for x
    x = 248,483,325.60/23,643.91
  6. Step 6: Final answer
    x = 10,509.40

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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.