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Finding the Fourth Proportional to 14,697.12, 22,046.40 and 4,308

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Solution

The fourth proportional to 14,697.12, 22,046.40 and 4,308 is: 6,462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.12 : 22,046.40 = 4,308 : x
  2. Step 2: Convert to fraction form
    14,697.12/22,046.40 = 4,308/x
  3. Step 3: Cross multiply
    14,697.12x = 22,046.40 × 4,308
  4. Step 4: Simplify right side
    14,697.12x = 94,975,891.20
  5. Step 5: Solve for x
    x = 94,975,891.20/14,697.12
  6. Step 6: Final answer
    x = 6,462.21

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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.