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Finding the Fourth Proportional to 14,905.93, 20,569.19 and 8,191.41

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Solution

The fourth proportional to 14,905.93, 20,569.19 and 8,191.41 is: 11,303.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,905.93 : 20,569.19 = 8,191.41 : x
  2. Step 2: Convert to fraction form
    14,905.93/20,569.19 = 8,191.41/x
  3. Step 3: Cross multiply
    14,905.93x = 20,569.19 × 8,191.41
  4. Step 4: Simplify right side
    14,905.93x = 168,490,750.91
  5. Step 5: Solve for x
    x = 168,490,750.91/14,905.93
  6. Step 6: Final answer
    x = 11,303.60

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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.