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Finding the Fourth Proportional to 29,282.74, 40,410.21 and 15,854.00

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Solution

The fourth proportional to 29,282.74, 40,410.21 and 15,854.00 is: 21,878.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,282.74 : 40,410.21 = 15,854.00 : x
  2. Step 2: Convert to fraction form
    29,282.74/40,410.21 = 15,854.00/x
  3. Step 3: Cross multiply
    29,282.74x = 40,410.21 × 15,854.00
  4. Step 4: Simplify right side
    29,282.74x = 640,663,541.61
  5. Step 5: Solve for x
    x = 640,663,541.61/29,282.74
  6. Step 6: Final answer
    x = 21,878.54

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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.