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Finding the Fourth Proportional to 12,801.30, 19,214.10 and 7,880.55

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Solution

The fourth proportional to 12,801.30, 19,214.10 and 7,880.55 is: 11,828.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.30 : 19,214.10 = 7,880.55 : x
  2. Step 2: Convert to fraction form
    12,801.30/19,214.10 = 7,880.55/x
  3. Step 3: Cross multiply
    12,801.30x = 19,214.10 × 7,880.55
  4. Step 4: Simplify right side
    12,801.30x = 151,417,675.76
  5. Step 5: Solve for x
    x = 151,417,675.76/12,801.30
  6. Step 6: Final answer
    x = 11,828.30

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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.