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Finding the Fourth Proportional to 34,570.41, 51,856.63 and 13,509.60

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Solution

The fourth proportional to 34,570.41, 51,856.63 and 13,509.60 is: 20,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,570.41 : 51,856.63 = 13,509.60 : x
  2. Step 2: Convert to fraction form
    34,570.41/51,856.63 = 13,509.60/x
  3. Step 3: Cross multiply
    34,570.41x = 51,856.63 × 13,509.60
  4. Step 4: Simplify right side
    34,570.41x = 700,562,328.65
  5. Step 5: Solve for x
    x = 700,562,328.65/34,570.41
  6. Step 6: Final answer
    x = 20,264.80

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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.