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Finding the Fourth Proportional to 22,277.40, 30,710.26 and 16,963

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Solution

The fourth proportional to 22,277.40, 30,710.26 and 16,963 is: 23,384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,277.40 : 30,710.26 = 16,963 : x
  2. Step 2: Convert to fraction form
    22,277.40/30,710.26 = 16,963/x
  3. Step 3: Cross multiply
    22,277.40x = 30,710.26 × 16,963
  4. Step 4: Simplify right side
    22,277.40x = 520,938,140.38
  5. Step 5: Solve for x
    x = 520,938,140.38/22,277.40
  6. Step 6: Final answer
    x = 23,384.15

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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.