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Finding the Fourth Proportional to 23,885.58, 32,962.78 and 13,813.06

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Solution

The fourth proportional to 23,885.58, 32,962.78 and 13,813.06 is: 19,062.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,885.58 : 32,962.78 = 13,813.06 : x
  2. Step 2: Convert to fraction form
    23,885.58/32,962.78 = 13,813.06/x
  3. Step 3: Cross multiply
    23,885.58x = 32,962.78 × 13,813.06
  4. Step 4: Simplify right side
    23,885.58x = 455,316,857.91
  5. Step 5: Solve for x
    x = 455,316,857.91/23,885.58
  6. Step 6: Final answer
    x = 19,062.42

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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.