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Finding the Fourth Proportional to 14,794.00, 20,417.65 and 8,419.35

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Solution

The fourth proportional to 14,794.00, 20,417.65 and 8,419.35 is: 11,619.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,794.00 : 20,417.65 = 8,419.35 : x
  2. Step 2: Convert to fraction form
    14,794.00/20,417.65 = 8,419.35/x
  3. Step 3: Cross multiply
    14,794.00x = 20,417.65 × 8,419.35
  4. Step 4: Simplify right side
    14,794.00x = 171,903,341.53
  5. Step 5: Solve for x
    x = 171,903,341.53/14,794.00
  6. Step 6: Final answer
    x = 11,619.81

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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.