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Finding the Fourth Proportional to 19,852.13, 29,750.65 and 8,742.17

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Solution

The fourth proportional to 19,852.13, 29,750.65 and 8,742.17 is: 13,101.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,852.13 : 29,750.65 = 8,742.17 : x
  2. Step 2: Convert to fraction form
    19,852.13/29,750.65 = 8,742.17/x
  3. Step 3: Cross multiply
    19,852.13x = 29,750.65 × 8,742.17
  4. Step 4: Simplify right side
    19,852.13x = 260,085,239.91
  5. Step 5: Solve for x
    x = 260,085,239.91/19,852.13
  6. Step 6: Final answer
    x = 13,101.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.