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Finding the Fourth Proportional to 14,492.93, 21,738.71 and 8,492.34

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Solution

The fourth proportional to 14,492.93, 21,738.71 and 8,492.34 is: 12,738.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,492.93 : 21,738.71 = 8,492.34 : x
  2. Step 2: Convert to fraction form
    14,492.93/21,738.71 = 8,492.34/x
  3. Step 3: Cross multiply
    14,492.93x = 21,738.71 × 8,492.34
  4. Step 4: Simplify right side
    14,492.93x = 184,612,619.23
  5. Step 5: Solve for x
    x = 184,612,619.23/14,492.93
  6. Step 6: Final answer
    x = 12,738.12

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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.