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Finding the Fourth Proportional to 14,547.14, 20,086.90 and 11,858.78

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Solution

The fourth proportional to 14,547.14, 20,086.90 and 11,858.78 is: 16,374.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547.14 : 20,086.90 = 11,858.78 : x
  2. Step 2: Convert to fraction form
    14,547.14/20,086.90 = 11,858.78/x
  3. Step 3: Cross multiply
    14,547.14x = 20,086.90 × 11,858.78
  4. Step 4: Simplify right side
    14,547.14x = 238,206,127.98
  5. Step 5: Solve for x
    x = 238,206,127.98/14,547.14
  6. Step 6: Final answer
    x = 16,374.77

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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.