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Finding the Fourth Proportional to 19,784.68, 29,669.90 and 5,741.78

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Solution

The fourth proportional to 19,784.68, 29,669.90 and 5,741.78 is: 8,610.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784.68 : 29,669.90 = 5,741.78 : x
  2. Step 2: Convert to fraction form
    19,784.68/29,669.90 = 5,741.78/x
  3. Step 3: Cross multiply
    19,784.68x = 29,669.90 × 5,741.78
  4. Step 4: Simplify right side
    19,784.68x = 170,358,038.42
  5. Step 5: Solve for x
    x = 170,358,038.42/19,784.68
  6. Step 6: Final answer
    x = 8,610.60

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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.