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Finding the Fourth Proportional to 14,697.10, 22,038.70 and 5,695.43

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Solution

The fourth proportional to 14,697.10, 22,038.70 and 5,695.43 is: 8,540.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.10 : 22,038.70 = 5,695.43 : x
  2. Step 2: Convert to fraction form
    14,697.10/22,038.70 = 5,695.43/x
  3. Step 3: Cross multiply
    14,697.10x = 22,038.70 × 5,695.43
  4. Step 4: Simplify right side
    14,697.10x = 125,519,844.66
  5. Step 5: Solve for x
    x = 125,519,844.66/14,697.10
  6. Step 6: Final answer
    x = 8,540.45

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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.