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Finding the Fourth Proportional to 14,784.18, 20,402.16 and 8,410.74

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Solution

The fourth proportional to 14,784.18, 20,402.16 and 8,410.74 is: 11,606.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,784.18 : 20,402.16 = 8,410.74 : x
  2. Step 2: Convert to fraction form
    14,784.18/20,402.16 = 8,410.74/x
  3. Step 3: Cross multiply
    14,784.18x = 20,402.16 × 8,410.74
  4. Step 4: Simplify right side
    14,784.18x = 171,597,263.20
  5. Step 5: Solve for x
    x = 171,597,263.20/14,784.18
  6. Step 6: Final answer
    x = 11,606.82

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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.