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Finding the Fourth Proportional to 12,830.40, 19,209.15 and 9,890.10

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Solution

The fourth proportional to 12,830.40, 19,209.15 and 9,890.10 is: 14,807.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.40 : 19,209.15 = 9,890.10 : x
  2. Step 2: Convert to fraction form
    12,830.40/19,209.15 = 9,890.10/x
  3. Step 3: Cross multiply
    12,830.40x = 19,209.15 × 9,890.10
  4. Step 4: Simplify right side
    12,830.40x = 189,980,414.42
  5. Step 5: Solve for x
    x = 189,980,414.42/12,830.40
  6. Step 6: Final answer
    x = 14,807.05

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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.