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Finding the Fourth Proportional to 15,686.16, 23,499.16 and 9,745.41

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Solution

The fourth proportional to 15,686.16, 23,499.16 and 9,745.41 is: 14,599.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,686.16 : 23,499.16 = 9,745.41 : x
  2. Step 2: Convert to fraction form
    15,686.16/23,499.16 = 9,745.41/x
  3. Step 3: Cross multiply
    15,686.16x = 23,499.16 × 9,745.41
  4. Step 4: Simplify right side
    15,686.16x = 229,008,900.13
  5. Step 5: Solve for x
    x = 229,008,900.13/15,686.16
  6. Step 6: Final answer
    x = 14,599.43

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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.