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Finding the Fourth Proportional to 20,903.60, 31,364.59 and 9,809.34

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Solution

The fourth proportional to 20,903.60, 31,364.59 and 9,809.34 is: 14,718.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,903.60 : 31,364.59 = 9,809.34 : x
  2. Step 2: Convert to fraction form
    20,903.60/31,364.59 = 9,809.34/x
  3. Step 3: Cross multiply
    20,903.60x = 31,364.59 × 9,809.34
  4. Step 4: Simplify right side
    20,903.60x = 307,665,927.27
  5. Step 5: Solve for x
    x = 307,665,927.27/20,903.60
  6. Step 6: Final answer
    x = 14,718.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.