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Finding the Fourth Proportional to 13,141.67, 19,701.86 and 8,971.18

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Solution

The fourth proportional to 13,141.67, 19,701.86 and 8,971.18 is: 13,449.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,141.67 : 19,701.86 = 8,971.18 : x
  2. Step 2: Convert to fraction form
    13,141.67/19,701.86 = 8,971.18/x
  3. Step 3: Cross multiply
    13,141.67x = 19,701.86 × 8,971.18
  4. Step 4: Simplify right side
    13,141.67x = 176,748,838.28
  5. Step 5: Solve for x
    x = 176,748,838.28/13,141.67
  6. Step 6: Final answer
    x = 13,449.50

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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.