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Finding the Fourth Proportional to 16,319.60, 24,430.80 and 9,742.40

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Solution

The fourth proportional to 16,319.60, 24,430.80 and 9,742.40 is: 14,584.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,319.60 : 24,430.80 = 9,742.40 : x
  2. Step 2: Convert to fraction form
    16,319.60/24,430.80 = 9,742.40/x
  3. Step 3: Cross multiply
    16,319.60x = 24,430.80 × 9,742.40
  4. Step 4: Simplify right side
    16,319.60x = 238,014,625.92
  5. Step 5: Solve for x
    x = 238,014,625.92/16,319.60
  6. Step 6: Final answer
    x = 14,584.59

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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.