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Finding the Fourth Proportional to 14,697.95, 20,283.15 and 8,410.32

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Solution

The fourth proportional to 14,697.95, 20,283.15 and 8,410.32 is: 11,606.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.95 : 20,283.15 = 8,410.32 : x
  2. Step 2: Convert to fraction form
    14,697.95/20,283.15 = 8,410.32/x
  3. Step 3: Cross multiply
    14,697.95x = 20,283.15 × 8,410.32
  4. Step 4: Simplify right side
    14,697.95x = 170,587,782.11
  5. Step 5: Solve for x
    x = 170,587,782.11/14,697.95
  6. Step 6: Final answer
    x = 11,606.23

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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.