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Finding the Fourth Proportional to 14,756.16, 20,363.20 and 8,132.16

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Solution

The fourth proportional to 14,756.16, 20,363.20 and 8,132.16 is: 11,222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,756.16 : 20,363.20 = 8,132.16 : x
  2. Step 2: Convert to fraction form
    14,756.16/20,363.20 = 8,132.16/x
  3. Step 3: Cross multiply
    14,756.16x = 20,363.20 × 8,132.16
  4. Step 4: Simplify right side
    14,756.16x = 165,596,800.51
  5. Step 5: Solve for x
    x = 165,596,800.51/14,756.16
  6. Step 6: Final answer
    x = 11,222.22

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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.