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Finding the Fourth Proportional to 14,971.41, 22,457.05 and 3,877.16

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Solution

The fourth proportional to 14,971.41, 22,457.05 and 3,877.16 is: 5,815.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,971.41 : 22,457.05 = 3,877.16 : x
  2. Step 2: Convert to fraction form
    14,971.41/22,457.05 = 3,877.16/x
  3. Step 3: Cross multiply
    14,971.41x = 22,457.05 × 3,877.16
  4. Step 4: Simplify right side
    14,971.41x = 87,069,444.31
  5. Step 5: Solve for x
    x = 87,069,444.31/14,971.41
  6. Step 6: Final answer
    x = 5,815.71

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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.