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Finding the Fourth Proportional to 14,817.84, 20,415.80 and 9,773.16

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Solution

The fourth proportional to 14,817.84, 20,415.80 and 9,773.16 is: 13,465.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,817.84 : 20,415.80 = 9,773.16 : x
  2. Step 2: Convert to fraction form
    14,817.84/20,415.80 = 9,773.16/x
  3. Step 3: Cross multiply
    14,817.84x = 20,415.80 × 9,773.16
  4. Step 4: Simplify right side
    14,817.84x = 199,526,879.93
  5. Step 5: Solve for x
    x = 199,526,879.93/14,817.84
  6. Step 6: Final answer
    x = 13,465.31

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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.