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Finding the Fourth Proportional to 14,802.84, 20,432.04 and 8,517.24

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Solution

The fourth proportional to 14,802.84, 20,432.04 and 8,517.24 is: 11,756.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,802.84 : 20,432.04 = 8,517.24 : x
  2. Step 2: Convert to fraction form
    14,802.84/20,432.04 = 8,517.24/x
  3. Step 3: Cross multiply
    14,802.84x = 20,432.04 × 8,517.24
  4. Step 4: Simplify right side
    14,802.84x = 174,024,588.37
  5. Step 5: Solve for x
    x = 174,024,588.37/14,802.84
  6. Step 6: Final answer
    x = 11,756.16

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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.