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Finding the Fourth Proportional to 15,897.24, 21,938.40 and 8,823.48

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Solution

The fourth proportional to 15,897.24, 21,938.40 and 8,823.48 is: 12,176.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897.24 : 21,938.40 = 8,823.48 : x
  2. Step 2: Convert to fraction form
    15,897.24/21,938.40 = 8,823.48/x
  3. Step 3: Cross multiply
    15,897.24x = 21,938.40 × 8,823.48
  4. Step 4: Simplify right side
    15,897.24x = 193,573,033.63
  5. Step 5: Solve for x
    x = 193,573,033.63/15,897.24
  6. Step 6: Final answer
    x = 12,176.52

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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.