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Finding the Fourth Proportional to 14,206.01, 19,588.91 and 9,671.63

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Solution

The fourth proportional to 14,206.01, 19,588.91 and 9,671.63 is: 13,336.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.01 : 19,588.91 = 9,671.63 : x
  2. Step 2: Convert to fraction form
    14,206.01/19,588.91 = 9,671.63/x
  3. Step 3: Cross multiply
    14,206.01x = 19,588.91 × 9,671.63
  4. Step 4: Simplify right side
    14,206.01x = 189,456,543.32
  5. Step 5: Solve for x
    x = 189,456,543.32/14,206.01
  6. Step 6: Final answer
    x = 13,336.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.