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Finding the Fourth Proportional to 39,838.77, 59,758.88 and 10,257.21

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Solution

The fourth proportional to 39,838.77, 59,758.88 and 10,257.21 is: 15,386.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,838.77 : 59,758.88 = 10,257.21 : x
  2. Step 2: Convert to fraction form
    39,838.77/59,758.88 = 10,257.21/x
  3. Step 3: Cross multiply
    39,838.77x = 59,758.88 × 10,257.21
  4. Step 4: Simplify right side
    39,838.77x = 612,959,330.24
  5. Step 5: Solve for x
    x = 612,959,330.24/39,838.77
  6. Step 6: Final answer
    x = 15,386.00

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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.