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Finding the Fourth Proportional to 14,649.60, 21,941.28 and 8,400

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Solution

The fourth proportional to 14,649.60, 21,941.28 and 8,400 is: 12,581.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,649.60 : 21,941.28 = 8,400 : x
  2. Step 2: Convert to fraction form
    14,649.60/21,941.28 = 8,400/x
  3. Step 3: Cross multiply
    14,649.60x = 21,941.28 × 8,400
  4. Step 4: Simplify right side
    14,649.60x = 184,306,752
  5. Step 5: Solve for x
    x = 184,306,752/14,649.60
  6. Step 6: Final answer
    x = 12,581.01

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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.