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Finding the Fourth Proportional to 13,702.25, 20,541.04 and 4,931

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Solution

The fourth proportional to 13,702.25, 20,541.04 and 4,931 is: 7,392.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.25 : 20,541.04 = 4,931 : x
  2. Step 2: Convert to fraction form
    13,702.25/20,541.04 = 4,931/x
  3. Step 3: Cross multiply
    13,702.25x = 20,541.04 × 4,931
  4. Step 4: Simplify right side
    13,702.25x = 101,287,868.24
  5. Step 5: Solve for x
    x = 101,287,868.24/13,702.25
  6. Step 6: Final answer
    x = 7,392.06

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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.