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Finding the Fourth Proportional to 21,254.76, 29,332.98 and 14,193

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Solution

The fourth proportional to 21,254.76, 29,332.98 and 14,193 is: 19,587.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,254.76 : 29,332.98 = 14,193 : x
  2. Step 2: Convert to fraction form
    21,254.76/29,332.98 = 14,193/x
  3. Step 3: Cross multiply
    21,254.76x = 29,332.98 × 14,193
  4. Step 4: Simplify right side
    21,254.76x = 416,322,985.14
  5. Step 5: Solve for x
    x = 416,322,985.14/21,254.76
  6. Step 6: Final answer
    x = 19,587.28

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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.