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Finding the Fourth Proportional to 14,854.48, 20,506.80 and 10,099.60

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Solution

The fourth proportional to 14,854.48, 20,506.80 and 10,099.60 is: 13,942.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854.48 : 20,506.80 = 10,099.60 : x
  2. Step 2: Convert to fraction form
    14,854.48/20,506.80 = 10,099.60/x
  3. Step 3: Cross multiply
    14,854.48x = 20,506.80 × 10,099.60
  4. Step 4: Simplify right side
    14,854.48x = 207,110,477.28
  5. Step 5: Solve for x
    x = 207,110,477.28/14,854.48
  6. Step 6: Final answer
    x = 13,942.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.