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Finding the Fourth Proportional to 13,438.40, 20,152.80 and 4,673.60

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Solution

The fourth proportional to 13,438.40, 20,152.80 and 4,673.60 is: 7,008.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438.40 : 20,152.80 = 4,673.60 : x
  2. Step 2: Convert to fraction form
    13,438.40/20,152.80 = 4,673.60/x
  3. Step 3: Cross multiply
    13,438.40x = 20,152.80 × 4,673.60
  4. Step 4: Simplify right side
    13,438.40x = 94,186,126.08
  5. Step 5: Solve for x
    x = 94,186,126.08/13,438.40
  6. Step 6: Final answer
    x = 7,008.73

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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.