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Finding the Fourth Proportional to 14,478, 19,919.16 and 12,902.64

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Solution

The fourth proportional to 14,478, 19,919.16 and 12,902.64 is: 17,751.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,478 : 19,919.16 = 12,902.64 : x
  2. Step 2: Convert to fraction form
    14,478/19,919.16 = 12,902.64/x
  3. Step 3: Cross multiply
    14,478x = 19,919.16 × 12,902.64
  4. Step 4: Simplify right side
    14,478x = 257,009,750.58
  5. Step 5: Solve for x
    x = 257,009,750.58/14,478
  6. Step 6: Final answer
    x = 17,751.74

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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.