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Finding the Fourth Proportional to 15,447, 22,971.78 and 14,954.92

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Solution

The fourth proportional to 15,447, 22,971.78 and 14,954.92 is: 22,239.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,447 : 22,971.78 = 14,954.92 : x
  2. Step 2: Convert to fraction form
    15,447/22,971.78 = 14,954.92/x
  3. Step 3: Cross multiply
    15,447x = 22,971.78 × 14,954.92
  4. Step 4: Simplify right side
    15,447x = 343,541,132.16
  5. Step 5: Solve for x
    x = 343,541,132.16/15,447
  6. Step 6: Final answer
    x = 22,239.99

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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.