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Finding the Fourth Proportional to 19,478.17, 29,200.85 and 7,785.01

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Solution

The fourth proportional to 19,478.17, 29,200.85 and 7,785.01 is: 11,670.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,478.17 : 29,200.85 = 7,785.01 : x
  2. Step 2: Convert to fraction form
    19,478.17/29,200.85 = 7,785.01/x
  3. Step 3: Cross multiply
    19,478.17x = 29,200.85 × 7,785.01
  4. Step 4: Simplify right side
    19,478.17x = 227,328,724.33
  5. Step 5: Solve for x
    x = 227,328,724.33/19,478.17
  6. Step 6: Final answer
    x = 11,670.95

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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.