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Finding the Fourth Proportional to 15,753.99, 23,637.94 and 8,356.64

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Solution

The fourth proportional to 15,753.99, 23,637.94 and 8,356.64 is: 12,538.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,753.99 : 23,637.94 = 8,356.64 : x
  2. Step 2: Convert to fraction form
    15,753.99/23,637.94 = 8,356.64/x
  3. Step 3: Cross multiply
    15,753.99x = 23,637.94 × 8,356.64
  4. Step 4: Simplify right side
    15,753.99x = 197,533,600.17
  5. Step 5: Solve for x
    x = 197,533,600.17/15,753.99
  6. Step 6: Final answer
    x = 12,538.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.