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Finding the Fourth Proportional to 15,924.50, 23,718.54 and 15,091.82

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Solution

The fourth proportional to 15,924.50, 23,718.54 and 15,091.82 is: 22,478.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,924.50 : 23,718.54 = 15,091.82 : x
  2. Step 2: Convert to fraction form
    15,924.50/23,718.54 = 15,091.82/x
  3. Step 3: Cross multiply
    15,924.50x = 23,718.54 × 15,091.82
  4. Step 4: Simplify right side
    15,924.50x = 357,955,936.34
  5. Step 5: Solve for x
    x = 357,955,936.34/15,924.50
  6. Step 6: Final answer
    x = 22,478.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.