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Finding the Fourth Proportional to 15,804.43, 23,708 and 4,117.63

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Solution

The fourth proportional to 15,804.43, 23,708 and 4,117.63 is: 6,176.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,804.43 : 23,708 = 4,117.63 : x
  2. Step 2: Convert to fraction form
    15,804.43/23,708 = 4,117.63/x
  3. Step 3: Cross multiply
    15,804.43x = 23,708 × 4,117.63
  4. Step 4: Simplify right side
    15,804.43x = 97,620,772.04
  5. Step 5: Solve for x
    x = 97,620,772.04/15,804.43
  6. Step 6: Final answer
    x = 6,176.80

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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.