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Finding the Fourth Proportional to 16,002.60, 24,005.70 and 4,909.20

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Solution

The fourth proportional to 16,002.60, 24,005.70 and 4,909.20 is: 7,364.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.60 : 24,005.70 = 4,909.20 : x
  2. Step 2: Convert to fraction form
    16,002.60/24,005.70 = 4,909.20/x
  3. Step 3: Cross multiply
    16,002.60x = 24,005.70 × 4,909.20
  4. Step 4: Simplify right side
    16,002.60x = 117,848,782.44
  5. Step 5: Solve for x
    x = 117,848,782.44/16,002.60
  6. Step 6: Final answer
    x = 7,364.35

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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.