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Finding the Fourth Proportional to 14,807.21, 22,197.14 and 5,442.07

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Solution

The fourth proportional to 14,807.21, 22,197.14 and 5,442.07 is: 8,158.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,807.21 : 22,197.14 = 5,442.07 : x
  2. Step 2: Convert to fraction form
    14,807.21/22,197.14 = 5,442.07/x
  3. Step 3: Cross multiply
    14,807.21x = 22,197.14 × 5,442.07
  4. Step 4: Simplify right side
    14,807.21x = 120,798,389.68
  5. Step 5: Solve for x
    x = 120,798,389.68/14,807.21
  6. Step 6: Final answer
    x = 8,158.08

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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.