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Finding the Fourth Proportional to 14,720.88, 20,313.16 and 8,434.48

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Solution

The fourth proportional to 14,720.88, 20,313.16 and 8,434.48 is: 11,638.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,720.88 : 20,313.16 = 8,434.48 : x
  2. Step 2: Convert to fraction form
    14,720.88/20,313.16 = 8,434.48/x
  3. Step 3: Cross multiply
    14,720.88x = 20,313.16 × 8,434.48
  4. Step 4: Simplify right side
    14,720.88x = 171,330,941.76
  5. Step 5: Solve for x
    x = 171,330,941.76/14,720.88
  6. Step 6: Final answer
    x = 11,638.63

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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.