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Finding the Fourth Proportional to 12,971.50, 19,457.25 and 10,014.26

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Solution

The fourth proportional to 12,971.50, 19,457.25 and 10,014.26 is: 15,021.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971.50 : 19,457.25 = 10,014.26 : x
  2. Step 2: Convert to fraction form
    12,971.50/19,457.25 = 10,014.26/x
  3. Step 3: Cross multiply
    12,971.50x = 19,457.25 × 10,014.26
  4. Step 4: Simplify right side
    12,971.50x = 194,849,973.62
  5. Step 5: Solve for x
    x = 194,849,973.62/12,971.50
  6. Step 6: Final answer
    x = 15,021.39

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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.