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Finding the Fourth Proportional to 12,575.84, 18,866.49 and 4,677.12

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Solution

The fourth proportional to 12,575.84, 18,866.49 and 4,677.12 is: 7,016.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,575.84 : 18,866.49 = 4,677.12 : x
  2. Step 2: Convert to fraction form
    12,575.84/18,866.49 = 4,677.12/x
  3. Step 3: Cross multiply
    12,575.84x = 18,866.49 × 4,677.12
  4. Step 4: Simplify right side
    12,575.84x = 88,240,837.71
  5. Step 5: Solve for x
    x = 88,240,837.71/12,575.84
  6. Step 6: Final answer
    x = 7,016.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.