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Finding the Fourth Proportional to 22,258.50, 30,719.58 and 12,827.14

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Solution

The fourth proportional to 22,258.50, 30,719.58 and 12,827.14 is: 17,703.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,258.50 : 30,719.58 = 12,827.14 : x
  2. Step 2: Convert to fraction form
    22,258.50/30,719.58 = 12,827.14/x
  3. Step 3: Cross multiply
    22,258.50x = 30,719.58 × 12,827.14
  4. Step 4: Simplify right side
    22,258.50x = 394,044,353.40
  5. Step 5: Solve for x
    x = 394,044,353.40/22,258.50
  6. Step 6: Final answer
    x = 17,703.10

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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.