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Finding the Fourth Proportional to 26,321.40, 39,492.90 and 9,689.40

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Solution

The fourth proportional to 26,321.40, 39,492.90 and 9,689.40 is: 14,538.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,321.40 : 39,492.90 = 9,689.40 : x
  2. Step 2: Convert to fraction form
    26,321.40/39,492.90 = 9,689.40/x
  3. Step 3: Cross multiply
    26,321.40x = 39,492.90 × 9,689.40
  4. Step 4: Simplify right side
    26,321.40x = 382,662,505.26
  5. Step 5: Solve for x
    x = 382,662,505.26/26,321.40
  6. Step 6: Final answer
    x = 14,538.08

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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.