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Finding the Fourth Proportional to 10,827.60, 16,241.40 and 9,985.20

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Solution

The fourth proportional to 10,827.60, 16,241.40 and 9,985.20 is: 14,977.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827.60 : 16,241.40 = 9,985.20 : x
  2. Step 2: Convert to fraction form
    10,827.60/16,241.40 = 9,985.20/x
  3. Step 3: Cross multiply
    10,827.60x = 16,241.40 × 9,985.20
  4. Step 4: Simplify right side
    10,827.60x = 162,173,627.28
  5. Step 5: Solve for x
    x = 162,173,627.28/10,827.60
  6. Step 6: Final answer
    x = 14,977.80

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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.