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Finding the Fourth Proportional to 14,593.16, 20,134.85 and 9,804.58

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Solution

The fourth proportional to 14,593.16, 20,134.85 and 9,804.58 is: 13,527.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,593.16 : 20,134.85 = 9,804.58 : x
  2. Step 2: Convert to fraction form
    14,593.16/20,134.85 = 9,804.58/x
  3. Step 3: Cross multiply
    14,593.16x = 20,134.85 × 9,804.58
  4. Step 4: Simplify right side
    14,593.16x = 197,413,648.25
  5. Step 5: Solve for x
    x = 197,413,648.25/14,593.16
  6. Step 6: Final answer
    x = 13,527.82

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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.