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Finding the Fourth Proportional to 14,702.31, 20,302.63 and 9,406.43

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Solution

The fourth proportional to 14,702.31, 20,302.63 and 9,406.43 is: 12,989.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,702.31 : 20,302.63 = 9,406.43 : x
  2. Step 2: Convert to fraction form
    14,702.31/20,302.63 = 9,406.43/x
  3. Step 3: Cross multiply
    14,702.31x = 20,302.63 × 9,406.43
  4. Step 4: Simplify right side
    14,702.31x = 190,975,166.40
  5. Step 5: Solve for x
    x = 190,975,166.40/14,702.31
  6. Step 6: Final answer
    x = 12,989.47

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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.