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Finding the Fourth Proportional to 19,852.83, 27,397.34 and 11,355.72

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Solution

The fourth proportional to 19,852.83, 27,397.34 and 11,355.72 is: 15,671.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,852.83 : 27,397.34 = 11,355.72 : x
  2. Step 2: Convert to fraction form
    19,852.83/27,397.34 = 11,355.72/x
  3. Step 3: Cross multiply
    19,852.83x = 27,397.34 × 11,355.72
  4. Step 4: Simplify right side
    19,852.83x = 311,116,521.78
  5. Step 5: Solve for x
    x = 311,116,521.78/19,852.83
  6. Step 6: Final answer
    x = 15,671.14

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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.