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Finding the Fourth Proportional to 12,930.30, 19,417.05 and 8,567.10

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Solution

The fourth proportional to 12,930.30, 19,417.05 and 8,567.10 is: 12,864.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,930.30 : 19,417.05 = 8,567.10 : x
  2. Step 2: Convert to fraction form
    12,930.30/19,417.05 = 8,567.10/x
  3. Step 3: Cross multiply
    12,930.30x = 19,417.05 × 8,567.10
  4. Step 4: Simplify right side
    12,930.30x = 166,347,809.06
  5. Step 5: Solve for x
    x = 166,347,809.06/12,930.30
  6. Step 6: Final answer
    x = 12,864.96

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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.