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Finding the Fourth Proportional to 14,307.84, 19,744.74 and 8,020.26

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Solution

The fourth proportional to 14,307.84, 19,744.74 and 8,020.26 is: 11,067.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,307.84 : 19,744.74 = 8,020.26 : x
  2. Step 2: Convert to fraction form
    14,307.84/19,744.74 = 8,020.26/x
  3. Step 3: Cross multiply
    14,307.84x = 19,744.74 × 8,020.26
  4. Step 4: Simplify right side
    14,307.84x = 158,357,948.43
  5. Step 5: Solve for x
    x = 158,357,948.43/14,307.84
  6. Step 6: Final answer
    x = 11,067.91

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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.