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Finding the Fourth Proportional to 22,784.62, 31,457.02 and 17,469.22

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Solution

The fourth proportional to 22,784.62, 31,457.02 and 17,469.22 is: 24,118.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,784.62 : 31,457.02 = 17,469.22 : x
  2. Step 2: Convert to fraction form
    22,784.62/31,457.02 = 17,469.22/x
  3. Step 3: Cross multiply
    22,784.62x = 31,457.02 × 17,469.22
  4. Step 4: Simplify right side
    22,784.62x = 549,529,602.92
  5. Step 5: Solve for x
    x = 549,529,602.92/22,784.62
  6. Step 6: Final answer
    x = 24,118.44

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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.