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Finding the Fourth Proportional to 15,867.88, 23,802.98 and 4,181

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Solution

The fourth proportional to 15,867.88, 23,802.98 and 4,181 is: 6,271.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,867.88 : 23,802.98 = 4,181 : x
  2. Step 2: Convert to fraction form
    15,867.88/23,802.98 = 4,181/x
  3. Step 3: Cross multiply
    15,867.88x = 23,802.98 × 4,181
  4. Step 4: Simplify right side
    15,867.88x = 99,520,259.38
  5. Step 5: Solve for x
    x = 99,520,259.38/15,867.88
  6. Step 6: Final answer
    x = 6,271.81

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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.