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Finding the Fourth Proportional to 14,911.40, 20,582.36 and 9,606.20

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Solution

The fourth proportional to 14,911.40, 20,582.36 and 9,606.20 is: 13,259.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,911.40 : 20,582.36 = 9,606.20 : x
  2. Step 2: Convert to fraction form
    14,911.40/20,582.36 = 9,606.20/x
  3. Step 3: Cross multiply
    14,911.40x = 20,582.36 × 9,606.20
  4. Step 4: Simplify right side
    14,911.40x = 197,718,266.63
  5. Step 5: Solve for x
    x = 197,718,266.63/14,911.40
  6. Step 6: Final answer
    x = 13,259.54

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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.