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Finding the Fourth Proportional to 19,464.16, 29,218.08 and 7,785.60

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Solution

The fourth proportional to 19,464.16, 29,218.08 and 7,785.60 is: 11,687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,464.16 : 29,218.08 = 7,785.60 : x
  2. Step 2: Convert to fraction form
    19,464.16/29,218.08 = 7,785.60/x
  3. Step 3: Cross multiply
    19,464.16x = 29,218.08 × 7,785.60
  4. Step 4: Simplify right side
    19,464.16x = 227,480,283.65
  5. Step 5: Solve for x
    x = 227,480,283.65/19,464.16
  6. Step 6: Final answer
    x = 11,687.14

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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.