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Finding the Fourth Proportional to 15,570.72, 21,490.38 and 9,283.50

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Solution

The fourth proportional to 15,570.72, 21,490.38 and 9,283.50 is: 12,812.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,570.72 : 21,490.38 = 9,283.50 : x
  2. Step 2: Convert to fraction form
    15,570.72/21,490.38 = 9,283.50/x
  3. Step 3: Cross multiply
    15,570.72x = 21,490.38 × 9,283.50
  4. Step 4: Simplify right side
    15,570.72x = 199,505,942.73
  5. Step 5: Solve for x
    x = 199,505,942.73/15,570.72
  6. Step 6: Final answer
    x = 12,812.89

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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.