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Finding the Fourth Proportional to 14,534.83, 20,064.16 and 9,825.49

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Solution

The fourth proportional to 14,534.83, 20,064.16 and 9,825.49 is: 13,563.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,534.83 : 20,064.16 = 9,825.49 : x
  2. Step 2: Convert to fraction form
    14,534.83/20,064.16 = 9,825.49/x
  3. Step 3: Cross multiply
    14,534.83x = 20,064.16 × 9,825.49
  4. Step 4: Simplify right side
    14,534.83x = 197,140,128.71
  5. Step 5: Solve for x
    x = 197,140,128.71/14,534.83
  6. Step 6: Final answer
    x = 13,563.29

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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.