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Finding the Fourth Proportional to 16,362.42, 24,509.14 and 7,485.22

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Solution

The fourth proportional to 16,362.42, 24,509.14 and 7,485.22 is: 11,212.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,362.42 : 24,509.14 = 7,485.22 : x
  2. Step 2: Convert to fraction form
    16,362.42/24,509.14 = 7,485.22/x
  3. Step 3: Cross multiply
    16,362.42x = 24,509.14 × 7,485.22
  4. Step 4: Simplify right side
    16,362.42x = 183,456,304.91
  5. Step 5: Solve for x
    x = 183,456,304.91/16,362.42
  6. Step 6: Final answer
    x = 11,212.05

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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.