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Finding the Fourth Proportional to 19,878, 27,430.56 and 11,918.76

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Solution

The fourth proportional to 19,878, 27,430.56 and 11,918.76 is: 16,447.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878 : 27,430.56 = 11,918.76 : x
  2. Step 2: Convert to fraction form
    19,878/27,430.56 = 11,918.76/x
  3. Step 3: Cross multiply
    19,878x = 27,430.56 × 11,918.76
  4. Step 4: Simplify right side
    19,878x = 326,938,261.31
  5. Step 5: Solve for x
    x = 326,938,261.31/19,878
  6. Step 6: Final answer
    x = 16,447.24

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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.