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Finding the Fourth Proportional to 23,109.51, 31,891.05 and 12,499.14

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Solution

The fourth proportional to 23,109.51, 31,891.05 and 12,499.14 is: 17,248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,109.51 : 31,891.05 = 12,499.14 : x
  2. Step 2: Convert to fraction form
    23,109.51/31,891.05 = 12,499.14/x
  3. Step 3: Cross multiply
    23,109.51x = 31,891.05 × 12,499.14
  4. Step 4: Simplify right side
    23,109.51x = 398,610,698.70
  5. Step 5: Solve for x
    x = 398,610,698.70/23,109.51
  6. Step 6: Final answer
    x = 17,248.77

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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.