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Finding the Fourth Proportional to 19,854.57, 27,412.13 and 12,308.93

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Solution

The fourth proportional to 19,854.57, 27,412.13 and 12,308.93 is: 16,994.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,854.57 : 27,412.13 = 12,308.93 : x
  2. Step 2: Convert to fraction form
    19,854.57/27,412.13 = 12,308.93/x
  3. Step 3: Cross multiply
    19,854.57x = 27,412.13 × 12,308.93
  4. Step 4: Simplify right side
    19,854.57x = 337,413,989.32
  5. Step 5: Solve for x
    x = 337,413,989.32/19,854.57
  6. Step 6: Final answer
    x = 16,994.27

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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.