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Finding the Fourth Proportional to 27,315.70, 40,947.96 and 14,817.40

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Solution

The fourth proportional to 27,315.70, 40,947.96 and 14,817.40 is: 22,212.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,315.70 : 40,947.96 = 14,817.40 : x
  2. Step 2: Convert to fraction form
    27,315.70/40,947.96 = 14,817.40/x
  3. Step 3: Cross multiply
    27,315.70x = 40,947.96 × 14,817.40
  4. Step 4: Simplify right side
    27,315.70x = 606,742,302.50
  5. Step 5: Solve for x
    x = 606,742,302.50/27,315.70
  6. Step 6: Final answer
    x = 22,212.22

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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.