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Finding the Fourth Proportional to 13,465.16, 20,197.20 and 4,702.04

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Solution

The fourth proportional to 13,465.16, 20,197.20 and 4,702.04 is: 7,052.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465.16 : 20,197.20 = 4,702.04 : x
  2. Step 2: Convert to fraction form
    13,465.16/20,197.20 = 4,702.04/x
  3. Step 3: Cross multiply
    13,465.16x = 20,197.20 × 4,702.04
  4. Step 4: Simplify right side
    13,465.16x = 94,968,042.29
  5. Step 5: Solve for x
    x = 94,968,042.29/13,465.16
  6. Step 6: Final answer
    x = 7,052.87

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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.