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Finding the Fourth Proportional to 14,491.14, 19,999.46 and 8,829.20

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Solution

The fourth proportional to 14,491.14, 19,999.46 and 8,829.20 is: 12,185.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,491.14 : 19,999.46 = 8,829.20 : x
  2. Step 2: Convert to fraction form
    14,491.14/19,999.46 = 8,829.20/x
  3. Step 3: Cross multiply
    14,491.14x = 19,999.46 × 8,829.20
  4. Step 4: Simplify right side
    14,491.14x = 176,579,232.23
  5. Step 5: Solve for x
    x = 176,579,232.23/14,491.14
  6. Step 6: Final answer
    x = 12,185.32

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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.