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Finding the Fourth Proportional to 15,897.23, 21,938.55 and 8,823.50

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Solution

The fourth proportional to 15,897.23, 21,938.55 and 8,823.50 is: 12,176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897.23 : 21,938.55 = 8,823.50 : x
  2. Step 2: Convert to fraction form
    15,897.23/21,938.55 = 8,823.50/x
  3. Step 3: Cross multiply
    15,897.23x = 21,938.55 × 8,823.50
  4. Step 4: Simplify right side
    15,897.23x = 193,574,795.93
  5. Step 5: Solve for x
    x = 193,574,795.93/15,897.23
  6. Step 6: Final answer
    x = 12,176.64

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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.