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Finding the Fourth Proportional to 14,648.16, 20,216.88 and 9,929.28

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Solution

The fourth proportional to 14,648.16, 20,216.88 and 9,929.28 is: 13,704.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648.16 : 20,216.88 = 9,929.28 : x
  2. Step 2: Convert to fraction form
    14,648.16/20,216.88 = 9,929.28/x
  3. Step 3: Cross multiply
    14,648.16x = 20,216.88 × 9,929.28
  4. Step 4: Simplify right side
    14,648.16x = 200,739,062.25
  5. Step 5: Solve for x
    x = 200,739,062.25/14,648.16
  6. Step 6: Final answer
    x = 13,704.05

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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.