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Finding the Fourth Proportional to 13,013.64, 19,521.42 and 4,698.60

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Solution

The fourth proportional to 13,013.64, 19,521.42 and 4,698.60 is: 7,048.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.64 : 19,521.42 = 4,698.60 : x
  2. Step 2: Convert to fraction form
    13,013.64/19,521.42 = 4,698.60/x
  3. Step 3: Cross multiply
    13,013.64x = 19,521.42 × 4,698.60
  4. Step 4: Simplify right side
    13,013.64x = 91,723,344.01
  5. Step 5: Solve for x
    x = 91,723,344.01/13,013.64
  6. Step 6: Final answer
    x = 7,048.25

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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.