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Finding the Fourth Proportional to 19,970.50, 27,494.51 and 15,714.06

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Solution

The fourth proportional to 19,970.50, 27,494.51 and 15,714.06 is: 21,634.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,970.50 : 27,494.51 = 15,714.06 : x
  2. Step 2: Convert to fraction form
    19,970.50/27,494.51 = 15,714.06/x
  3. Step 3: Cross multiply
    19,970.50x = 27,494.51 × 15,714.06
  4. Step 4: Simplify right side
    19,970.50x = 432,050,379.81
  5. Step 5: Solve for x
    x = 432,050,379.81/19,970.50
  6. Step 6: Final answer
    x = 21,634.43

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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.