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Finding the Fourth Proportional to 19,712.75, 29,578.30 and 9,852.71

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Solution

The fourth proportional to 19,712.75, 29,578.30 and 9,852.71 is: 14,783.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,712.75 : 29,578.30 = 9,852.71 : x
  2. Step 2: Convert to fraction form
    19,712.75/29,578.30 = 9,852.71/x
  3. Step 3: Cross multiply
    19,712.75x = 29,578.30 × 9,852.71
  4. Step 4: Simplify right side
    19,712.75x = 291,426,239.67
  5. Step 5: Solve for x
    x = 291,426,239.67/19,712.75
  6. Step 6: Final answer
    x = 14,783.65

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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.