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Finding the Fourth Proportional to 14,050.97, 19,389.76 and 7,677.42

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Solution

The fourth proportional to 14,050.97, 19,389.76 and 7,677.42 is: 10,594.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,050.97 : 19,389.76 = 7,677.42 : x
  2. Step 2: Convert to fraction form
    14,050.97/19,389.76 = 7,677.42/x
  3. Step 3: Cross multiply
    14,050.97x = 19,389.76 × 7,677.42
  4. Step 4: Simplify right side
    14,050.97x = 148,863,312.03
  5. Step 5: Solve for x
    x = 148,863,312.03/14,050.97
  6. Step 6: Final answer
    x = 10,594.52

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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.