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Finding the Fourth Proportional to 19,878.42, 27,430.52 and 11,701.16

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Solution

The fourth proportional to 19,878.42, 27,430.52 and 11,701.16 is: 16,146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878.42 : 27,430.52 = 11,701.16 : x
  2. Step 2: Convert to fraction form
    19,878.42/27,430.52 = 11,701.16/x
  3. Step 3: Cross multiply
    19,878.42x = 27,430.52 × 11,701.16
  4. Step 4: Simplify right side
    19,878.42x = 320,968,707.74
  5. Step 5: Solve for x
    x = 320,968,707.74/19,878.42
  6. Step 6: Final answer
    x = 16,146.59

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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.