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Finding the Fourth Proportional to 13,645.52, 18,830.84 and 7,677.52

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Solution

The fourth proportional to 13,645.52, 18,830.84 and 7,677.52 is: 10,594.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.52 : 18,830.84 = 7,677.52 : x
  2. Step 2: Convert to fraction form
    13,645.52/18,830.84 = 7,677.52/x
  3. Step 3: Cross multiply
    13,645.52x = 18,830.84 × 7,677.52
  4. Step 4: Simplify right side
    13,645.52x = 144,574,150.72
  5. Step 5: Solve for x
    x = 144,574,150.72/13,645.52
  6. Step 6: Final answer
    x = 10,594.99

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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.