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Finding the Fourth Proportional to 21,848.40, 32,714.28 and 19,224

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Solution

The fourth proportional to 21,848.40, 32,714.28 and 19,224 is: 28,784.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,848.40 : 32,714.28 = 19,224 : x
  2. Step 2: Convert to fraction form
    21,848.40/32,714.28 = 19,224/x
  3. Step 3: Cross multiply
    21,848.40x = 32,714.28 × 19,224
  4. Step 4: Simplify right side
    21,848.40x = 628,899,318.72
  5. Step 5: Solve for x
    x = 628,899,318.72/21,848.40
  6. Step 6: Final answer
    x = 28,784.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.