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Finding the Fourth Proportional to 12,657.20, 17,464.23 and 7,349.27

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Solution

The fourth proportional to 12,657.20, 17,464.23 and 7,349.27 is: 10,140.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.20 : 17,464.23 = 7,349.27 : x
  2. Step 2: Convert to fraction form
    12,657.20/17,464.23 = 7,349.27/x
  3. Step 3: Cross multiply
    12,657.20x = 17,464.23 × 7,349.27
  4. Step 4: Simplify right side
    12,657.20x = 128,349,341.61
  5. Step 5: Solve for x
    x = 128,349,341.61/12,657.20
  6. Step 6: Final answer
    x = 10,140.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.