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Finding the Fourth Proportional to 19,478.64, 29,216.52 and 7,784.40

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Solution

The fourth proportional to 19,478.64, 29,216.52 and 7,784.40 is: 11,676.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,478.64 : 29,216.52 = 7,784.40 : x
  2. Step 2: Convert to fraction form
    19,478.64/29,216.52 = 7,784.40/x
  3. Step 3: Cross multiply
    19,478.64x = 29,216.52 × 7,784.40
  4. Step 4: Simplify right side
    19,478.64x = 227,433,078.29
  5. Step 5: Solve for x
    x = 227,433,078.29/19,478.64
  6. Step 6: Final answer
    x = 11,676.02

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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.