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Finding the Fourth Proportional to 19,434.56, 29,145.72 and 6,284

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Solution

The fourth proportional to 19,434.56, 29,145.72 and 6,284 is: 9,424.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,434.56 : 29,145.72 = 6,284 : x
  2. Step 2: Convert to fraction form
    19,434.56/29,145.72 = 6,284/x
  3. Step 3: Cross multiply
    19,434.56x = 29,145.72 × 6,284
  4. Step 4: Simplify right side
    19,434.56x = 183,151,704.48
  5. Step 5: Solve for x
    x = 183,151,704.48/19,434.56
  6. Step 6: Final answer
    x = 9,424.02

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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.