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Finding the Fourth Proportional to 21,500.54, 32,256.28 and 6,709.58

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Solution

The fourth proportional to 21,500.54, 32,256.28 and 6,709.58 is: 10,066.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,500.54 : 32,256.28 = 6,709.58 : x
  2. Step 2: Convert to fraction form
    21,500.54/32,256.28 = 6,709.58/x
  3. Step 3: Cross multiply
    21,500.54x = 32,256.28 × 6,709.58
  4. Step 4: Simplify right side
    21,500.54x = 216,426,202.93
  5. Step 5: Solve for x
    x = 216,426,202.93/21,500.54
  6. Step 6: Final answer
    x = 10,066.08

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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.