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Finding the Fourth Proportional to 15,723.98, 23,577.43 and 7,809.13

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Solution

The fourth proportional to 15,723.98, 23,577.43 and 7,809.13 is: 11,709.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,723.98 : 23,577.43 = 7,809.13 : x
  2. Step 2: Convert to fraction form
    15,723.98/23,577.43 = 7,809.13/x
  3. Step 3: Cross multiply
    15,723.98x = 23,577.43 × 7,809.13
  4. Step 4: Simplify right side
    15,723.98x = 184,119,215.94
  5. Step 5: Solve for x
    x = 184,119,215.94/15,723.98
  6. Step 6: Final answer
    x = 11,709.45

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1.5x scale

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.