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Finding the Fourth Proportional to 24,497.60, 36,746.40 and 16,289.60

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Solution

The fourth proportional to 24,497.60, 36,746.40 and 16,289.60 is: 24,434.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,497.60 : 36,746.40 = 16,289.60 : x
  2. Step 2: Convert to fraction form
    24,497.60/36,746.40 = 16,289.60/x
  3. Step 3: Cross multiply
    24,497.60x = 36,746.40 × 16,289.60
  4. Step 4: Simplify right side
    24,497.60x = 598,584,157.44
  5. Step 5: Solve for x
    x = 598,584,157.44/24,497.60
  6. Step 6: Final answer
    x = 24,434.40

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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.