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Finding the Fourth Proportional to 21,830.94, 30,102.86 and 14,745.06

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Solution

The fourth proportional to 21,830.94, 30,102.86 and 14,745.06 is: 20,332.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830.94 : 30,102.86 = 14,745.06 : x
  2. Step 2: Convert to fraction form
    21,830.94/30,102.86 = 14,745.06/x
  3. Step 3: Cross multiply
    21,830.94x = 30,102.86 × 14,745.06
  4. Step 4: Simplify right side
    21,830.94x = 443,868,476.87
  5. Step 5: Solve for x
    x = 443,868,476.87/21,830.94
  6. Step 6: Final answer
    x = 20,332.08

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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.