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Finding the Fourth Proportional to 23,509.84, 35,255.86 and 9,465.08

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Solution

The fourth proportional to 23,509.84, 35,255.86 and 9,465.08 is: 14,194.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,509.84 : 35,255.86 = 9,465.08 : x
  2. Step 2: Convert to fraction form
    23,509.84/35,255.86 = 9,465.08/x
  3. Step 3: Cross multiply
    23,509.84x = 35,255.86 × 9,465.08
  4. Step 4: Simplify right side
    23,509.84x = 333,699,535.37
  5. Step 5: Solve for x
    x = 333,699,535.37/23,509.84
  6. Step 6: Final answer
    x = 14,194.04

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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.