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Finding the Fourth Proportional to 12,830.30, 19,248.86 and 4,065.20

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Solution

The fourth proportional to 12,830.30, 19,248.86 and 4,065.20 is: 6,098.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.30 : 19,248.86 = 4,065.20 : x
  2. Step 2: Convert to fraction form
    12,830.30/19,248.86 = 4,065.20/x
  3. Step 3: Cross multiply
    12,830.30x = 19,248.86 × 4,065.20
  4. Step 4: Simplify right side
    12,830.30x = 78,250,465.67
  5. Step 5: Solve for x
    x = 78,250,465.67/12,830.30
  6. Step 6: Final answer
    x = 6,098.88

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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.