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Finding the Fourth Proportional to 14,632.66, 20,193.01 and 7,918.32

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Solution

The fourth proportional to 14,632.66, 20,193.01 and 7,918.32 is: 10,927.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,632.66 : 20,193.01 = 7,918.32 : x
  2. Step 2: Convert to fraction form
    14,632.66/20,193.01 = 7,918.32/x
  3. Step 3: Cross multiply
    14,632.66x = 20,193.01 × 7,918.32
  4. Step 4: Simplify right side
    14,632.66x = 159,894,714.94
  5. Step 5: Solve for x
    x = 159,894,714.94/14,632.66
  6. Step 6: Final answer
    x = 10,927.25

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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.