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Finding the Fourth Proportional to 14,177.94, 19,564.28 and 8,210.01

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Solution

The fourth proportional to 14,177.94, 19,564.28 and 8,210.01 is: 11,329.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,177.94 : 19,564.28 = 8,210.01 : x
  2. Step 2: Convert to fraction form
    14,177.94/19,564.28 = 8,210.01/x
  3. Step 3: Cross multiply
    14,177.94x = 19,564.28 × 8,210.01
  4. Step 4: Simplify right side
    14,177.94x = 160,622,893.39
  5. Step 5: Solve for x
    x = 160,622,893.39/14,177.94
  6. Step 6: Final answer
    x = 11,329.07

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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.