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Finding the Fourth Proportional to 22,964.04, 31,685.22 and 13,533.48

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Solution

The fourth proportional to 22,964.04, 31,685.22 and 13,533.48 is: 18,673.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,964.04 : 31,685.22 = 13,533.48 : x
  2. Step 2: Convert to fraction form
    22,964.04/31,685.22 = 13,533.48/x
  3. Step 3: Cross multiply
    22,964.04x = 31,685.22 × 13,533.48
  4. Step 4: Simplify right side
    22,964.04x = 428,811,291.17
  5. Step 5: Solve for x
    x = 428,811,291.17/22,964.04
  6. Step 6: Final answer
    x = 18,673.16

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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.