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Finding the Fourth Proportional to 19,615.74, 29,369.70 and 13,698.54

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Solution

The fourth proportional to 19,615.74, 29,369.70 and 13,698.54 is: 20,510.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,615.74 : 29,369.70 = 13,698.54 : x
  2. Step 2: Convert to fraction form
    19,615.74/29,369.70 = 13,698.54/x
  3. Step 3: Cross multiply
    19,615.74x = 29,369.70 × 13,698.54
  4. Step 4: Simplify right side
    19,615.74x = 402,322,010.24
  5. Step 5: Solve for x
    x = 402,322,010.24/19,615.74
  6. Step 6: Final answer
    x = 20,510.16

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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.