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Finding the Fourth Proportional to 26,290.40, 39,412.09 and 9,646.57

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Solution

The fourth proportional to 26,290.40, 39,412.09 and 9,646.57 is: 14,461.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,290.40 : 39,412.09 = 9,646.57 : x
  2. Step 2: Convert to fraction form
    26,290.40/39,412.09 = 9,646.57/x
  3. Step 3: Cross multiply
    26,290.40x = 39,412.09 × 9,646.57
  4. Step 4: Simplify right side
    26,290.40x = 380,191,462.64
  5. Step 5: Solve for x
    x = 380,191,462.64/26,290.40
  6. Step 6: Final answer
    x = 14,461.23

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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.