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Finding the Fourth Proportional to 19,854.84, 27,397.74 and 11,471.16

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Solution

The fourth proportional to 19,854.84, 27,397.74 and 11,471.16 is: 15,829.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,854.84 : 27,397.74 = 11,471.16 : x
  2. Step 2: Convert to fraction form
    19,854.84/27,397.74 = 11,471.16/x
  3. Step 3: Cross multiply
    19,854.84x = 27,397.74 × 11,471.16
  4. Step 4: Simplify right side
    19,854.84x = 314,283,859.18
  5. Step 5: Solve for x
    x = 314,283,859.18/19,854.84
  6. Step 6: Final answer
    x = 15,829.08

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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.