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Finding the Fourth Proportional to 14,526.48, 20,048.22 and 8,240

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Solution

The fourth proportional to 14,526.48, 20,048.22 and 8,240 is: 11,372.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,526.48 : 20,048.22 = 8,240 : x
  2. Step 2: Convert to fraction form
    14,526.48/20,048.22 = 8,240/x
  3. Step 3: Cross multiply
    14,526.48x = 20,048.22 × 8,240
  4. Step 4: Simplify right side
    14,526.48x = 165,197,332.80
  5. Step 5: Solve for x
    x = 165,197,332.80/14,526.48
  6. Step 6: Final answer
    x = 11,372.15

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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.