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Finding the Fourth Proportional to 28,242.64, 42,391.50 and 13,461.76

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Solution

The fourth proportional to 28,242.64, 42,391.50 and 13,461.76 is: 20,205.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,242.64 : 42,391.50 = 13,461.76 : x
  2. Step 2: Convert to fraction form
    28,242.64/42,391.50 = 13,461.76/x
  3. Step 3: Cross multiply
    28,242.64x = 42,391.50 × 13,461.76
  4. Step 4: Simplify right side
    28,242.64x = 570,664,199.04
  5. Step 5: Solve for x
    x = 570,664,199.04/28,242.64
  6. Step 6: Final answer
    x = 20,205.77

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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.