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Finding the Fourth Proportional to 15,714.81, 23,569.79 and 4,619.43

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Solution

The fourth proportional to 15,714.81, 23,569.79 and 4,619.43 is: 6,928.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.81 : 23,569.79 = 4,619.43 : x
  2. Step 2: Convert to fraction form
    15,714.81/23,569.79 = 4,619.43/x
  3. Step 3: Cross multiply
    15,714.81x = 23,569.79 × 4,619.43
  4. Step 4: Simplify right side
    15,714.81x = 108,878,971.92
  5. Step 5: Solve for x
    x = 108,878,971.92/15,714.81
  6. Step 6: Final answer
    x = 6,928.43

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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.