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Finding the Fourth Proportional to 19,655.64, 29,464.02 and 9,780.12

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Solution

The fourth proportional to 19,655.64, 29,464.02 and 9,780.12 is: 14,660.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,655.64 : 29,464.02 = 9,780.12 : x
  2. Step 2: Convert to fraction form
    19,655.64/29,464.02 = 9,780.12/x
  3. Step 3: Cross multiply
    19,655.64x = 29,464.02 × 9,780.12
  4. Step 4: Simplify right side
    19,655.64x = 288,161,651.28
  5. Step 5: Solve for x
    x = 288,161,651.28/19,655.64
  6. Step 6: Final answer
    x = 14,660.51

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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.