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Finding the Fourth Proportional to 14,142.76, 19,512.61 and 8,172.25

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Solution

The fourth proportional to 14,142.76, 19,512.61 and 8,172.25 is: 11,275.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.76 : 19,512.61 = 8,172.25 : x
  2. Step 2: Convert to fraction form
    14,142.76/19,512.61 = 8,172.25/x
  3. Step 3: Cross multiply
    14,142.76x = 19,512.61 × 8,172.25
  4. Step 4: Simplify right side
    14,142.76x = 159,461,888.51
  5. Step 5: Solve for x
    x = 159,461,888.51/14,142.76
  6. Step 6: Final answer
    x = 11,275.16

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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.