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Finding the Fourth Proportional to 15,854.32, 23,797.01 and 13,238.56

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Solution

The fourth proportional to 15,854.32, 23,797.01 and 13,238.56 is: 19,870.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854.32 : 23,797.01 = 13,238.56 : x
  2. Step 2: Convert to fraction form
    15,854.32/23,797.01 = 13,238.56/x
  3. Step 3: Cross multiply
    15,854.32x = 23,797.01 × 13,238.56
  4. Step 4: Simplify right side
    15,854.32x = 315,038,144.71
  5. Step 5: Solve for x
    x = 315,038,144.71/15,854.32
  6. Step 6: Final answer
    x = 19,870.81

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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.