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Finding the Fourth Proportional to 22,969.55, 31,702.92 and 14,015.14

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Solution

The fourth proportional to 22,969.55, 31,702.92 and 14,015.14 is: 19,343.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969.55 : 31,702.92 = 14,015.14 : x
  2. Step 2: Convert to fraction form
    22,969.55/31,702.92 = 14,015.14/x
  3. Step 3: Cross multiply
    22,969.55x = 31,702.92 × 14,015.14
  4. Step 4: Simplify right side
    22,969.55x = 444,320,862.21
  5. Step 5: Solve for x
    x = 444,320,862.21/22,969.55
  6. Step 6: Final answer
    x = 19,343.91

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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.