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Finding the Fourth Proportional to 14,807.40, 20,434.16 and 8,093.02

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Solution

The fourth proportional to 14,807.40, 20,434.16 and 8,093.02 is: 11,168.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,807.40 : 20,434.16 = 8,093.02 : x
  2. Step 2: Convert to fraction form
    14,807.40/20,434.16 = 8,093.02/x
  3. Step 3: Cross multiply
    14,807.40x = 20,434.16 × 8,093.02
  4. Step 4: Simplify right side
    14,807.40x = 165,374,025.10
  5. Step 5: Solve for x
    x = 165,374,025.10/14,807.40
  6. Step 6: Final answer
    x = 11,168.34

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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.