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Finding the Fourth Proportional to 14,971.50, 22,457.16 and 3,878.16

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Solution

The fourth proportional to 14,971.50, 22,457.16 and 3,878.16 is: 5,817.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,971.50 : 22,457.16 = 3,878.16 : x
  2. Step 2: Convert to fraction form
    14,971.50/22,457.16 = 3,878.16/x
  3. Step 3: Cross multiply
    14,971.50x = 22,457.16 × 3,878.16
  4. Step 4: Simplify right side
    14,971.50x = 87,092,459.63
  5. Step 5: Solve for x
    x = 87,092,459.63/14,971.50
  6. Step 6: Final answer
    x = 5,817.22

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Why These Related Problems?

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