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Finding the Fourth Proportional to 13,698.29, 20,547.05 and 3,704.00

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Solution

The fourth proportional to 13,698.29, 20,547.05 and 3,704.00 is: 5,555.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.29 : 20,547.05 = 3,704.00 : x
  2. Step 2: Convert to fraction form
    13,698.29/20,547.05 = 3,704.00/x
  3. Step 3: Cross multiply
    13,698.29x = 20,547.05 × 3,704.00
  4. Step 4: Simplify right side
    13,698.29x = 76,106,361.77
  5. Step 5: Solve for x
    x = 76,106,361.77/13,698.29
  6. Step 6: Final answer
    x = 5,555.90

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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.