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Finding the Fourth Proportional to 19,538.40, 29,301.48 and 7,056.78

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Solution

The fourth proportional to 19,538.40, 29,301.48 and 7,056.78 is: 10,582.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,538.40 : 29,301.48 = 7,056.78 : x
  2. Step 2: Convert to fraction form
    19,538.40/29,301.48 = 7,056.78/x
  3. Step 3: Cross multiply
    19,538.40x = 29,301.48 × 7,056.78
  4. Step 4: Simplify right side
    19,538.40x = 206,774,098.03
  5. Step 5: Solve for x
    x = 206,774,098.03/19,538.40
  6. Step 6: Final answer
    x = 10,582.96

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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.