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Finding the Fourth Proportional to 15,420.98, 23,112 and 12,854.90

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Solution

The fourth proportional to 15,420.98, 23,112 and 12,854.90 is: 19,266.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,420.98 : 23,112 = 12,854.90 : x
  2. Step 2: Convert to fraction form
    15,420.98/23,112 = 12,854.90/x
  3. Step 3: Cross multiply
    15,420.98x = 23,112 × 12,854.90
  4. Step 4: Simplify right side
    15,420.98x = 297,102,448.80
  5. Step 5: Solve for x
    x = 297,102,448.80/15,420.98
  6. Step 6: Final answer
    x = 19,266.12

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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.