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Finding the Fourth Proportional to 12,656.50, 17,465.79 and 7,354.30

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Solution

The fourth proportional to 12,656.50, 17,465.79 and 7,354.30 is: 10,148.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,656.50 : 17,465.79 = 7,354.30 : x
  2. Step 2: Convert to fraction form
    12,656.50/17,465.79 = 7,354.30/x
  3. Step 3: Cross multiply
    12,656.50x = 17,465.79 × 7,354.30
  4. Step 4: Simplify right side
    12,656.50x = 128,448,659.40
  5. Step 5: Solve for x
    x = 128,448,659.40/12,656.50
  6. Step 6: Final answer
    x = 10,148.83

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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.