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Finding the Fourth Proportional to 12,815.49, 19,225.29 and 5,420.01

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Solution

The fourth proportional to 12,815.49, 19,225.29 and 5,420.01 is: 8,130.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,815.49 : 19,225.29 = 5,420.01 : x
  2. Step 2: Convert to fraction form
    12,815.49/19,225.29 = 5,420.01/x
  3. Step 3: Cross multiply
    12,815.49x = 19,225.29 × 5,420.01
  4. Step 4: Simplify right side
    12,815.49x = 104,201,264.05
  5. Step 5: Solve for x
    x = 104,201,264.05/12,815.49
  6. Step 6: Final answer
    x = 8,130.88

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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.