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Finding the Fourth Proportional to 19,714.80, 27,206.94 and 10,762.50

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Solution

The fourth proportional to 19,714.80, 27,206.94 and 10,762.50 is: 14,852.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,714.80 : 27,206.94 = 10,762.50 : x
  2. Step 2: Convert to fraction form
    19,714.80/27,206.94 = 10,762.50/x
  3. Step 3: Cross multiply
    19,714.80x = 27,206.94 × 10,762.50
  4. Step 4: Simplify right side
    19,714.80x = 292,814,691.75
  5. Step 5: Solve for x
    x = 292,814,691.75/19,714.80
  6. Step 6: Final answer
    x = 14,852.53

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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.