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Finding the Fourth Proportional to 14,160.68, 19,541.64 and 7,873

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Solution

The fourth proportional to 14,160.68, 19,541.64 and 7,873 is: 10,864.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,160.68 : 19,541.64 = 7,873 : x
  2. Step 2: Convert to fraction form
    14,160.68/19,541.64 = 7,873/x
  3. Step 3: Cross multiply
    14,160.68x = 19,541.64 × 7,873
  4. Step 4: Simplify right side
    14,160.68x = 153,851,331.72
  5. Step 5: Solve for x
    x = 153,851,331.72/14,160.68
  6. Step 6: Final answer
    x = 10,864.69

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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.