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Finding the Fourth Proportional to 19,877.13, 27,435.65 and 12,319.16

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Solution

The fourth proportional to 19,877.13, 27,435.65 and 12,319.16 is: 17,003.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,877.13 : 27,435.65 = 12,319.16 : x
  2. Step 2: Convert to fraction form
    19,877.13/27,435.65 = 12,319.16/x
  3. Step 3: Cross multiply
    19,877.13x = 27,435.65 × 12,319.16
  4. Step 4: Simplify right side
    19,877.13x = 337,983,963.28
  5. Step 5: Solve for x
    x = 337,983,963.28/19,877.13
  6. Step 6: Final answer
    x = 17,003.66

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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.