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Finding the Fourth Proportional to 12,972.60, 19,458.90 and 4,208.40

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Solution

The fourth proportional to 12,972.60, 19,458.90 and 4,208.40 is: 6,312.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,972.60 : 19,458.90 = 4,208.40 : x
  2. Step 2: Convert to fraction form
    12,972.60/19,458.90 = 4,208.40/x
  3. Step 3: Cross multiply
    12,972.60x = 19,458.90 × 4,208.40
  4. Step 4: Simplify right side
    12,972.60x = 81,890,834.76
  5. Step 5: Solve for x
    x = 81,890,834.76/12,972.60
  6. Step 6: Final answer
    x = 6,312.60

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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.