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Finding the Fourth Proportional to 13,648.30, 20,465.16 and 4,878.44

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Solution

The fourth proportional to 13,648.30, 20,465.16 and 4,878.44 is: 7,315.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.30 : 20,465.16 = 4,878.44 : x
  2. Step 2: Convert to fraction form
    13,648.30/20,465.16 = 4,878.44/x
  3. Step 3: Cross multiply
    13,648.30x = 20,465.16 × 4,878.44
  4. Step 4: Simplify right side
    13,648.30x = 99,838,055.15
  5. Step 5: Solve for x
    x = 99,838,055.15/13,648.30
  6. Step 6: Final answer
    x = 7,315.05

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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.