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Finding the Fourth Proportional to 19,820.61, 29,727.13 and 9,957.15

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Solution

The fourth proportional to 19,820.61, 29,727.13 and 9,957.15 is: 14,933.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,820.61 : 29,727.13 = 9,957.15 : x
  2. Step 2: Convert to fraction form
    19,820.61/29,727.13 = 9,957.15/x
  3. Step 3: Cross multiply
    19,820.61x = 29,727.13 × 9,957.15
  4. Step 4: Simplify right side
    19,820.61x = 295,997,492.48
  5. Step 5: Solve for x
    x = 295,997,492.48/19,820.61
  6. Step 6: Final answer
    x = 14,933.82

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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.