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Finding the Fourth Proportional to 12,981.78, 19,475.55 and 6,052.50

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Solution

The fourth proportional to 12,981.78, 19,475.55 and 6,052.50 is: 9,080.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,981.78 : 19,475.55 = 6,052.50 : x
  2. Step 2: Convert to fraction form
    12,981.78/19,475.55 = 6,052.50/x
  3. Step 3: Cross multiply
    12,981.78x = 19,475.55 × 6,052.50
  4. Step 4: Simplify right side
    12,981.78x = 117,875,766.38
  5. Step 5: Solve for x
    x = 117,875,766.38/12,981.78
  6. Step 6: Final answer
    x = 9,080.09

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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.