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Finding the Fourth Proportional to 22,509.68, 31,064.44 and 13,559.98

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Solution

The fourth proportional to 22,509.68, 31,064.44 and 13,559.98 is: 18,713.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.68 : 31,064.44 = 13,559.98 : x
  2. Step 2: Convert to fraction form
    22,509.68/31,064.44 = 13,559.98/x
  3. Step 3: Cross multiply
    22,509.68x = 31,064.44 × 13,559.98
  4. Step 4: Simplify right side
    22,509.68x = 421,233,185.11
  5. Step 5: Solve for x
    x = 421,233,185.11/22,509.68
  6. Step 6: Final answer
    x = 18,713.42

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1.5x scale

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.