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Finding the Fourth Proportional to 19,652.56, 29,472.12 and 6,501.84

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Solution

The fourth proportional to 19,652.56, 29,472.12 and 6,501.84 is: 9,750.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,652.56 : 29,472.12 = 6,501.84 : x
  2. Step 2: Convert to fraction form
    19,652.56/29,472.12 = 6,501.84/x
  3. Step 3: Cross multiply
    19,652.56x = 29,472.12 × 6,501.84
  4. Step 4: Simplify right side
    19,652.56x = 191,623,008.70
  5. Step 5: Solve for x
    x = 191,623,008.70/19,652.56
  6. Step 6: Final answer
    x = 9,750.54

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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.