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Finding the Fourth Proportional to 23,097.99, 31,869.72 and 14,023.14

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Solution

The fourth proportional to 23,097.99, 31,869.72 and 14,023.14 is: 19,348.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,097.99 : 31,869.72 = 14,023.14 : x
  2. Step 2: Convert to fraction form
    23,097.99/31,869.72 = 14,023.14/x
  3. Step 3: Cross multiply
    23,097.99x = 31,869.72 × 14,023.14
  4. Step 4: Simplify right side
    23,097.99x = 446,913,385.97
  5. Step 5: Solve for x
    x = 446,913,385.97/23,097.99
  6. Step 6: Final answer
    x = 19,348.58

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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.