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Finding the Fourth Proportional to 15,805.12, 23,707.68 and 5,416.96

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Solution

The fourth proportional to 15,805.12, 23,707.68 and 5,416.96 is: 8,125.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805.12 : 23,707.68 = 5,416.96 : x
  2. Step 2: Convert to fraction form
    15,805.12/23,707.68 = 5,416.96/x
  3. Step 3: Cross multiply
    15,805.12x = 23,707.68 × 5,416.96
  4. Step 4: Simplify right side
    15,805.12x = 128,423,554.25
  5. Step 5: Solve for x
    x = 128,423,554.25/15,805.12
  6. Step 6: Final answer
    x = 8,125.44

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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.