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Finding the Fourth Proportional to 19,580.82, 27,033.13 and 12,878.01

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Solution

The fourth proportional to 19,580.82, 27,033.13 and 12,878.01 is: 17,779.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,580.82 : 27,033.13 = 12,878.01 : x
  2. Step 2: Convert to fraction form
    19,580.82/27,033.13 = 12,878.01/x
  3. Step 3: Cross multiply
    19,580.82x = 27,033.13 × 12,878.01
  4. Step 4: Simplify right side
    19,580.82x = 348,132,938.16
  5. Step 5: Solve for x
    x = 348,132,938.16/19,580.82
  6. Step 6: Final answer
    x = 17,779.28

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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.