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Finding the Fourth Proportional to 23,043.83, 31,805.06 and 14,966.21

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Solution

The fourth proportional to 23,043.83, 31,805.06 and 14,966.21 is: 20,656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,043.83 : 31,805.06 = 14,966.21 : x
  2. Step 2: Convert to fraction form
    23,043.83/31,805.06 = 14,966.21/x
  3. Step 3: Cross multiply
    23,043.83x = 31,805.06 × 14,966.21
  4. Step 4: Simplify right side
    23,043.83x = 476,001,132.19
  5. Step 5: Solve for x
    x = 476,001,132.19/23,043.83
  6. Step 6: Final answer
    x = 20,656.34

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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.