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Finding the Fourth Proportional to 23,686.24, 35,528.65 and 7,046.32

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Solution

The fourth proportional to 23,686.24, 35,528.65 and 7,046.32 is: 10,569.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,686.24 : 35,528.65 = 7,046.32 : x
  2. Step 2: Convert to fraction form
    23,686.24/35,528.65 = 7,046.32/x
  3. Step 3: Cross multiply
    23,686.24x = 35,528.65 × 7,046.32
  4. Step 4: Simplify right side
    23,686.24x = 250,346,237.07
  5. Step 5: Solve for x
    x = 250,346,237.07/23,686.24
  6. Step 6: Final answer
    x = 10,569.27

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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.