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Finding the Fourth Proportional to 14,307.12, 19,744.92 and 9,006.48

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Solution

The fourth proportional to 14,307.12, 19,744.92 and 9,006.48 is: 12,429.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,307.12 : 19,744.92 = 9,006.48 : x
  2. Step 2: Convert to fraction form
    14,307.12/19,744.92 = 9,006.48/x
  3. Step 3: Cross multiply
    14,307.12x = 19,744.92 × 9,006.48
  4. Step 4: Simplify right side
    14,307.12x = 177,832,227.08
  5. Step 5: Solve for x
    x = 177,832,227.08/14,307.12
  6. Step 6: Final answer
    x = 12,429.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.