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Finding the Fourth Proportional to 15,856.20, 21,880.80 and 9,142.20

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Solution

The fourth proportional to 15,856.20, 21,880.80 and 9,142.20 is: 12,615.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,856.20 : 21,880.80 = 9,142.20 : x
  2. Step 2: Convert to fraction form
    15,856.20/21,880.80 = 9,142.20/x
  3. Step 3: Cross multiply
    15,856.20x = 21,880.80 × 9,142.20
  4. Step 4: Simplify right side
    15,856.20x = 200,038,649.76
  5. Step 5: Solve for x
    x = 200,038,649.76/15,856.20
  6. Step 6: Final answer
    x = 12,615.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.