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Finding the Fourth Proportional to 17,901.71, 26,864.89 and 6,214.93

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Solution

The fourth proportional to 17,901.71, 26,864.89 and 6,214.93 is: 9,326.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,901.71 : 26,864.89 = 6,214.93 : x
  2. Step 2: Convert to fraction form
    17,901.71/26,864.89 = 6,214.93/x
  3. Step 3: Cross multiply
    17,901.71x = 26,864.89 × 6,214.93
  4. Step 4: Simplify right side
    17,901.71x = 166,963,328.11
  5. Step 5: Solve for x
    x = 166,963,328.11/17,901.71
  6. Step 6: Final answer
    x = 9,326.67

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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.