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Finding the Fourth Proportional to 15,784.38, 21,783.15 and 9,072.18

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Solution

The fourth proportional to 15,784.38, 21,783.15 and 9,072.18 is: 12,520.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,784.38 : 21,783.15 = 9,072.18 : x
  2. Step 2: Convert to fraction form
    15,784.38/21,783.15 = 9,072.18/x
  3. Step 3: Cross multiply
    15,784.38x = 21,783.15 × 9,072.18
  4. Step 4: Simplify right side
    15,784.38x = 197,620,657.77
  5. Step 5: Solve for x
    x = 197,620,657.77/15,784.38
  6. Step 6: Final answer
    x = 12,520.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.