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Finding the Fourth Proportional to 26,492.10, 39,713.45 and 8,949.66

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Solution

The fourth proportional to 26,492.10, 39,713.45 and 8,949.66 is: 13,416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,492.10 : 39,713.45 = 8,949.66 : x
  2. Step 2: Convert to fraction form
    26,492.10/39,713.45 = 8,949.66/x
  3. Step 3: Cross multiply
    26,492.10x = 39,713.45 × 8,949.66
  4. Step 4: Simplify right side
    26,492.10x = 355,421,830.18
  5. Step 5: Solve for x
    x = 355,421,830.18/26,492.10
  6. Step 6: Final answer
    x = 13,416.14

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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.