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Finding the Fourth Proportional to 14,223.24, 19,626.12 and 7,934.40

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Solution

The fourth proportional to 14,223.24, 19,626.12 and 7,934.40 is: 10,948.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,223.24 : 19,626.12 = 7,934.40 : x
  2. Step 2: Convert to fraction form
    14,223.24/19,626.12 = 7,934.40/x
  3. Step 3: Cross multiply
    14,223.24x = 19,626.12 × 7,934.40
  4. Step 4: Simplify right side
    14,223.24x = 155,721,486.53
  5. Step 5: Solve for x
    x = 155,721,486.53/14,223.24
  6. Step 6: Final answer
    x = 10,948.38

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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.