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Finding the Fourth Proportional to 19,673.68, 29,521.32 and 9,285.16

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Solution

The fourth proportional to 19,673.68, 29,521.32 and 9,285.16 is: 13,932.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,673.68 : 29,521.32 = 9,285.16 : x
  2. Step 2: Convert to fraction form
    19,673.68/29,521.32 = 9,285.16/x
  3. Step 3: Cross multiply
    19,673.68x = 29,521.32 × 9,285.16
  4. Step 4: Simplify right side
    19,673.68x = 274,110,179.61
  5. Step 5: Solve for x
    x = 274,110,179.61/19,673.68
  6. Step 6: Final answer
    x = 13,932.84

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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.