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Finding the Fourth Proportional to 21,133.76, 29,165.46 and 11,702.32

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Solution

The fourth proportional to 21,133.76, 29,165.46 and 11,702.32 is: 16,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,133.76 : 29,165.46 = 11,702.32 : x
  2. Step 2: Convert to fraction form
    21,133.76/29,165.46 = 11,702.32/x
  3. Step 3: Cross multiply
    21,133.76x = 29,165.46 × 11,702.32
  4. Step 4: Simplify right side
    21,133.76x = 341,303,400.04
  5. Step 5: Solve for x
    x = 341,303,400.04/21,133.76
  6. Step 6: Final answer
    x = 16,149.68

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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.