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Finding the Fourth Proportional to 23,820.91, 32,870.48 and 13,752.60

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Solution

The fourth proportional to 23,820.91, 32,870.48 and 13,752.60 is: 18,977.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,820.91 : 32,870.48 = 13,752.60 : x
  2. Step 2: Convert to fraction form
    23,820.91/32,870.48 = 13,752.60/x
  3. Step 3: Cross multiply
    23,820.91x = 32,870.48 × 13,752.60
  4. Step 4: Simplify right side
    23,820.91x = 452,054,563.25
  5. Step 5: Solve for x
    x = 452,054,563.25/23,820.91
  6. Step 6: Final answer
    x = 18,977.22

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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.