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Finding the Fourth Proportional to 13,707.20, 18,916.20 and 8,045.28

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Solution

The fourth proportional to 13,707.20, 18,916.20 and 8,045.28 is: 11,102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.20 : 18,916.20 = 8,045.28 : x
  2. Step 2: Convert to fraction form
    13,707.20/18,916.20 = 8,045.28/x
  3. Step 3: Cross multiply
    13,707.20x = 18,916.20 × 8,045.28
  4. Step 4: Simplify right side
    13,707.20x = 152,186,125.54
  5. Step 5: Solve for x
    x = 152,186,125.54/13,707.20
  6. Step 6: Final answer
    x = 11,102.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.