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Finding the Fourth Proportional to 16,002.60, 23,975.10 and 13,698.60

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Solution

The fourth proportional to 16,002.60, 23,975.10 and 13,698.60 is: 20,523.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.60 : 23,975.10 = 13,698.60 : x
  2. Step 2: Convert to fraction form
    16,002.60/23,975.10 = 13,698.60/x
  3. Step 3: Cross multiply
    16,002.60x = 23,975.10 × 13,698.60
  4. Step 4: Simplify right side
    16,002.60x = 328,425,304.86
  5. Step 5: Solve for x
    x = 328,425,304.86/16,002.60
  6. Step 6: Final answer
    x = 20,523.25

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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.