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Finding the Fourth Proportional to 19,709.24, 29,585.64 and 19,636.16

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Solution

The fourth proportional to 19,709.24, 29,585.64 and 19,636.16 is: 29,475.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.24 : 29,585.64 = 19,636.16 : x
  2. Step 2: Convert to fraction form
    19,709.24/29,585.64 = 19,636.16/x
  3. Step 3: Cross multiply
    19,709.24x = 29,585.64 × 19,636.16
  4. Step 4: Simplify right side
    19,709.24x = 580,948,360.74
  5. Step 5: Solve for x
    x = 580,948,360.74/19,709.24
  6. Step 6: Final answer
    x = 29,475.94

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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.