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Finding the Fourth Proportional to 21,188.72, 29,254.19 and 14,471.88

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Solution

The fourth proportional to 21,188.72, 29,254.19 and 14,471.88 is: 19,980.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,188.72 : 29,254.19 = 14,471.88 : x
  2. Step 2: Convert to fraction form
    21,188.72/29,254.19 = 14,471.88/x
  3. Step 3: Cross multiply
    21,188.72x = 29,254.19 × 14,471.88
  4. Step 4: Simplify right side
    21,188.72x = 423,363,054.82
  5. Step 5: Solve for x
    x = 423,363,054.82/21,188.72
  6. Step 6: Final answer
    x = 19,980.59

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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.